permanoon123

Mr. Erfan Permanoon

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These are questions asked by permanoon123

i want solve error of PDE2

restart

with(plottools):

with(plots):

with(CurveFitting):

with(ExcelTools):

Digits := 10:

PDE1 := diff(C(x, t), t) = -.7*(diff(C(x, t), x))+20*(diff(C(x, t), x, x)):

g := proc (t) options operator, arrow; 20*exp(-(1/2000000)*(t-10000)^2)+15*exp(-(1/2000000)*(t-13800)^2) end proc:

plot(g(t), t = 0 .. 60000)

 

``

IBC := C(x, 0) = 0, C(0, t) = g(t), (D[1](C))(20000, t) = 0:

pds1 := pdsolve(PDE1, [IBC], time = t, range = 0 .. 20000, timestep = 10, numeric, spacestep = 10)

module () local INFO; export plot, plot3d, animate, value, settings; option `Copyright (c) 2001 by Waterloo Maple Inc. All rights reserved.`; end module

(1)

k := pds1:-plot(x = 1500, t = 0 .. 60000, numpoints = 60000)

`[Length of output exceeds limit of 1000000]`

(2)

k;

 

``

T := ExcelTools:-Import("E:/er.xls", "sheet1"):

PLOT(CURVES(Matrix(7, 2, {(1, 1) = .0, (1, 2) = .0, (2, 1) = 10000.0, (2, 2) = 1.0, (3, 1) = 20000.0, (3, 2) = 5.0, (4, 1) = 30000.0, (4, 2) = 10.0, (5, 1) = 40000.0, (5, 2) = 5.0, (6, 1) = 50000.0, (6, 2) = 1.0, (7, 1) = 60000.0, (7, 2) = .0}, datatype = float[8]), COLOUR(RGB, .47058824, 0., 0.54901961e-1, _ATTRIBUTE("source" = "mathdefault"))), AXESLABELS("", ""), VIEW(DEFAULT, DEFAULT))

(3)

A := unapply(Spline(getdata(m)[3][() .. (), 1], getdata(m)[3][() .. (), 2], 't', degree = 2), t):

 

 

NULL

NULL

NULL

PDE2 := diff(C(x, t), t) = -.7*(diff(C(x, t), x))+20*(diff(C(x, t), x, x))

Error, unsupported type of index, x

 

IBC := C(x, 0) = 0, C(0, t) = A(t), (D[1](C))(18500, t) = 0:

pds2 := pdsolve(PDE2, [IBC], time = t, range = 0 .. 18500, timestep = 10, numeric, spacestep = 10)

module () local INFO; export plot, plot3d, animate, value, settings; option `Copyright (c) 2001 by Waterloo Maple Inc. All rights reserved.`; end module

(4)

p01 := pds2:-plot(t = 30000, numpoints = 250, color = red); plots[display]({p01})

Error, (in pdsolve/numeric/plot) unable to compute solution for t>INFO["failtime"]:
unable to store A(10.) when datatype=float[8]

 

Error, (in plots:-display) expecting plot structures but received: {p01}

 

``

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Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.083682864", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.105465676", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.132098276", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.164440843", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.203452918", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.250192924", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.305814596", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.371559803", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.44874728", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.538756839", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.64300878", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.762938322", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.89996508", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("1.055457828", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("1.230695007", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("1.4268217", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("1.644804066", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("1.885382451", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("2.149024682", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("2.43588115", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("2.745743574", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("3.078009252", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("3.431652744", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("3.805206773", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("4.196753939", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("4.603930677", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("5.023944341", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("5.453604145", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("5.88936592", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("6.327390353", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("6.763613724", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("7.19382965", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("7.613779894", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("8.019251823", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("8.406179757", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("8.770747208", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("9.10948683", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("9.41937487", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("9.697917029", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("9.943222698", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("10.1540651", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("10.32992485", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("10.47101543", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("10.5782891", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("10.65342272", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("10.69878349", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("10.71737491", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("10.71276457", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("10.68899503", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("10.65048052", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("10.60189181", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("10.54803268", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("10.49371117", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("10.44360935", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("10.4021553", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("10.37340083", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("10.36090861", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("10.36765187", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("10.39592969", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("10.44730016", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("10.52253359", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("10.62158687", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("10.74359995", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("10.88691422", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("11.04911243", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("11.2270788", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("11.41707747", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("11.61484704", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("11.81570826", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("12.0146818", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("12.20661265", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("12.38629757", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("12.54861207", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("12.68863342", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("12.80175632", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("12.88379847", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("12.93109316", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("12.94056699", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("12.9098009", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("12.83707361", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("12.72138678", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("12.56247191", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("12.36077974", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("12.11745279", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("11.83428291", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("11.51365535", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("11.15848158", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("10.7721232", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("10.35830928", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("9.921049733", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("9.464547077", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("8.993108951", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("8.51106359", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("8.022680152", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("7.532095603", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("7.043249522", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("6.559827833", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("6.085216253", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("5.622463745", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("5.174256134", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("4.742899602", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("4.330313611", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("3.938032568", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("3.567215301", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("3.218661419", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("2.892833351", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("2.589883031", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("2.309681975", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("2.051853713", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("1.815807483", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("1.600772226", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("1.405830061", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("1.229948463", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("1.072010592", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.930843275", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.805242313", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.693994894", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.595899009", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.509779847", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.434503266", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.368986452", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.312205983", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.26320352", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.221089376", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.185044253", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.154319386", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.1282354", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.106180095", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.087605421", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.072023841", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.059004283", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.048167828", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.039183298", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.031762834", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.025657574", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.020653497", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.01656749", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.013243667", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.010549974", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.008375083", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.00662559", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.005223486", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.004103928", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.003213255", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.002507261", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.001949691", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.001510937", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.001166928", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.000898178", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.000688975", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.000526708", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.000401297", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.000304715", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.000230599", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.000173924", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("0.000130739", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("9.79481E-05", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("7.31487E-05", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("5.46612E-05", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), Typesetting:-mtd(Typesetting:-mrow(Typesetting:-mn("4.46927E-05", executable = "false", mathvariant = "normal")), rowalign = "", columnalign = "", groupalign = "", rowspan = "1", columnspan = "1"), rowalign = "", columnalign = "", groupalign = ""), align = "axis", rowalign = "baseline", columnalign = "center", groupalign = "{left}", alignmentscope = "true", columnwidth = "auto", width = "auto", rowspacing = "1.0ex", columnspacing = "0.8em", rowlines = "none", columnlines = "none", frame = "none", framespacing = "0.4em 0.5ex", equalrows = "false", equalcolumns = "false", displaystyle = "false", side = "right", minlabelspacing = "0.8em"), Typesetting:-mi("")), executable = "false", mathvariant = "normal", open = "[", close = "]")), mathvariant = "normal", open = "[", close = "]"), Typesetting:-mo(":", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"))

f := unapply(Spline(pts[1], pts[2], x, degree = 2), x):

plot(f(x), x = 0 .. 20000, labels = ["x", "concentration"])

 

v := .7:

Disp := 20:

esp := 800000:

k := 0:

"E(x,t):=(∫)[0.0]^(infinity)1/(Pi)*(e)^((-esp*w^(4)+Disp*w^(2)+k)*t)*cos(w*(x+v*t)) ⅆw;"

E(4000, 3600);

E(4000, 3600)

(5)

simplify(int(exp(-2880000000*w^4+54000*w^2)*cos(6520.0*w)/Pi, w = 0 .. infinity));

0.6340566241e-11

(6)

NULL

"u(x,t):=(∫)[0.0]^(20000)E(x-xi,t)*f(xi) ⅆxi;"

``

 

uu1 := [seq(evalf(Int(E(i-xi, 1)*f(xi), xi = 0 .. 20000, method = _NCrule, epsilon = 10^(-6))), i = 0 .. 20000, 100)];

Warning,  computation interrupted

 

uu5000 := [seq(evalf(Int(E(i-xi, 5000)*f(xi), xi = 0 .. 20000, method = _NCrule, epsilon = 10^(-6))), i = 0 .. 20000, 100)]

[HFloat(-2.1992851380000959e-7), HFloat(-1.4989226916812487e-7), HFloat(1.1410806624540552e-7), HFloat(-7.410689072344523e-11), HFloat(3.005799292702046e-10), HFloat(9.85200498671503e-7), HFloat(7.66402271489397e-9), HFloat(1.4944589525699508e-9), HFloat(1.0909345347265328e-9), HFloat(-1.347400153841658e-10), HFloat(-3.3002245572182045e-9), HFloat(-6.469790742663034e-10), HFloat(6.666140227067126e-9), HFloat(-3.138040719031061e-9), HFloat(2.447894346686553e-8), HFloat(3.290412144789029e-8), HFloat(2.7715876722785253e-8), HFloat(3.743104982870806e-9), HFloat(-1.711761110503056e-8), HFloat(-6.953769222206797e-8), HFloat(-1.8096994014761858e-7), HFloat(-2.924897676092406e-7), HFloat(-4.592332772791863e-7), HFloat(-5.215015444966435e-7), HFloat(-4.7399576012451554e-7), HFloat(-1.3540108524111875e-7), HFloat(9.425076798876926e-7), HFloat(2.8764801628344496e-6), HFloat(6.024495781387309e-6), HFloat(1.0474833315300292e-5), HFloat(1.585982875179663e-5), HFloat(2.1023912595690784e-5), HFloat(2.2774809493421695e-5), HFloat(1.6479587729796864e-5), HFloat(-5.245576382315365e-6), HFloat(-5.2558166892293585e-5), HFloat(-1.380624402754629e-4), HFloat(-2.7574576571570003e-4), HFloat(-4.7569555736198853e-4), HFloat(-7.394255978755631e-4), HFloat(-0.0010482153736026704), HFloat(-0.001350218271812716), HFloat(-0.0015268864800545134), HFloat(-0.0013860822630267539), HFloat(-5.90390037822208e-4), HFloat(0.0013612729015365624), HFloat(0.005196755592921281), HFloat(0.011958115495006439), HFloat(0.023024884366977645), HFloat(0.04021742818287536), HFloat(0.06583792860781386), HFloat(0.10271290504564239), HFloat(0.15424165474904508), HFloat(0.22437186446906676), HFloat(0.3175073612404071), HFloat(0.4385035483336921), HFloat(0.5924360770204598), HFloat(0.7844565731490415), HFloat(1.019575386892244), HFloat(1.302213754453327), HFloat(1.6360395729372545), HFloat(2.0235874322882688), HFloat(2.465964308060876), HFloat(2.9623917866661063), HFloat(3.510172795187464), HFloat(4.104442909537644), HFloat(4.738163759600416), HFloat(5.402077208261823), HFloat(6.085003939824813), HFloat(6.774273818965306), HFloat(7.455950334190702), HFloat(8.115503419953518), HFloat(8.73850814681547), HFloat(9.311025236581445), HFloat(9.820725339218527), HFloat(10.2573149622096), HFloat(10.613078798784128), HFloat(10.883255307633352), HFloat(10.856359411035413), HFloat(11.16522416855706), HFloat(11.184962917921158), HFloat(11.134803691368438), HFloat(11.026657679243602), HFloat(10.87578966233986), HFloat(10.697895657317185), HFloat(10.510256612444557), HFloat(10.32991368673935), HFloat(10.173581456155178), HFloat(10.056171410218234), HFloat(9.990228902921526), HFloat(9.968230116417578), HFloat(10.047707495157132), HFloat(10.179679424716957), HFloat(10.378745760438791), HFloat(10.644656442368278), HFloat(10.961440457423619), HFloat(11.317321786625449), HFloat(11.695936489699424), HFloat(12.088535985231788), HFloat(12.470666708207581), HFloat(12.826818669062217), HFloat(13.139345691015317), HFloat(13.391799614225496), HFloat(13.569738986357798), HFloat(13.661431230863538), HFloat(13.658264356618345), HFloat(13.555070069836518), HFloat(13.350036213326835), HFloat(13.04483013270294), HFloat(12.64421008954875), HFloat(12.155858058862474), HFloat(11.58972560800692), HFloat(10.957678358136778), HFloat(10.27293454622325), HFloat(9.549517810345792), HFloat(8.801563442807502), HFloat(8.04297857108484), HFloat(7.2868723610605075), HFloat(6.545216626809865), HFloat(5.828447698995182), HFloat(5.145409735520372), HFloat(4.503137438015899), HFloat(3.906897454790606), HFloat(3.3601455817574575), HFloat(2.8647391746565836), HFloat(2.421031757395161), HFloat(2.028139352410935), HFloat(1.6840780596555522), HFloat(1.3860436211999592), HFloat(1.13066755932939), HFloat(0.9141803943307134), HFloat(0.7325379816140354), HFloat(0.5817114166353163), HFloat(0.45778482189190894), HFloat(0.3569917848488745), HFloat(0.2758426219320803), HFloat(0.2111748625411637), HFloat(0.16016747842604875), HFloat(0.12033556155892848), HFloat(0.08955002369092911), HFloat(0.06599326950189098), HFloat(0.04815810951427795), HFloat(0.034789168452562476), HFloat(0.024873727159344283), HFloat(0.017598916262082077), HFloat(0.01231069831969616), HFloat(0.008524199459054327), HFloat(0.005831440170893582), HFloat(0.003941490667084899), HFloat(0.002630675051787171), HFloat(0.001735001443530577), HFloat(0.0011256488644413724), HFloat(7.207690785057685e-4), HFloat(4.5494021337731883e-4), HFloat(2.830708074208877e-4), HFloat(1.7387894938060964e-4), HFloat(1.0687128532492048e-4), HFloat(6.553528358344664e-5), HFloat(4.03830805764973e-5), HFloat(2.476823627006392e-5), HFloat(1.432651811874368e-5), HFloat(6.369128385711481e-6), HFloat(-3.758513152748625e-7), HFloat(-6.403599557992656e-6), HFloat(-1.166859405924552e-5), HFloat(-1.5868845363728307e-5), HFloat(-1.8554886048879536e-5), HFloat(-1.9393938611608052e-5), HFloat(-1.8427186533743853e-5), HFloat(-1.6088752417953466e-5), HFloat(-1.193680041350809e-5), HFloat(-7.555478307437356e-6), HFloat(-3.2911085564722923e-6), HFloat(3.356749716461853e-7), HFloat(2.8998828963327384e-6), HFloat(4.238379176054762e-6), HFloat(4.4848478120653275e-6), HFloat(3.866316967870751e-6), HFloat(2.7107300340368345e-6), HFloat(1.4355045861462792e-6), HFloat(2.850676346931986e-7), HFloat(-5.374079342625969e-7), HFloat(-9.471125330562209e-7), HFloat(-1.0509770482664845e-6), HFloat(-8.777313747111306e-7), HFloat(-5.691104546691238e-7), HFloat(-2.2568651591974698e-7), HFloat(3.926326058286941e-8), HFloat(1.93863475127399e-7), HFloat(2.3999508470850535e-7), HFloat(2.0781442173898844e-7), HFloat(1.3254743334241917e-7), HFloat(5.292614948809493e-8), HFloat(-8.91306618652483e-9), HFloat(-4.3255435750577205e-8), HFloat(-5.106709687555605e-8), HFloat(-4.157521021362038e-8), HFloat(-2.4265545292546804e-8), HFloat(2.2172177464260928e-7), HFloat(-3.232228499340677e-7), HFloat(-3.574877979173867e-7)]

(7)

uu14000 := [seq(evalf(Int(E(i-xi, 14000)*f(xi), xi = 0 .. 20000, method = _NCrule, epsilon = 10^(-6))), i = 0 .. 20000, 100)]

[HFloat(1.8984460429666323), HFloat(2.542203448187856), HFloat(3.278815214073577), HFloat(4.099762802653735), HFloat(4.991514106675378), HFloat(5.9363031344932855), HFloat(6.911978477696919), HFloat(7.893211726573761), HFloat(8.852443165892987), HFloat(9.761228808949022), HFloat(10.591356908962199), HFloat(11.31702396211637), HFloat(11.9157330168993), HFloat(12.369923813109331), HFloat(12.667892142536154), HFloat(12.804627019860604), HFloat(12.783022041256418), HFloat(12.612611015103397), HFloat(12.310450714322979), HFloat(11.899878999111325), HFloat(11.40955461661877), HFloat(10.871941152681682), HFloat(10.322091183028114), HFloat(9.794944028027414), HFloat(9.324625087452905), HFloat(8.94186966928496), HFloat(8.673155680929145), HFloat(8.538404006472692), HFloat(8.550410616728419), HFloat(8.717085037843194), HFloat(9.02731946246416), HFloat(9.478136058266164), HFloat(10.048633425916135), HFloat(10.714344495297375), HFloat(11.445455095057982), HFloat(12.208607206328521), HFloat(12.967106771143273), HFloat(13.716075623814897), HFloat(14.372832293087027), HFloat(14.917820375566151), HFloat(15.327836070199165), HFloat(15.585834093956311), HFloat(15.680549959663027), HFloat(15.606626699209665), HFloat(15.364297956589061), HFloat(14.959250739611827), HFloat(14.402294402596562), HFloat(13.709191733116185), HFloat(12.899536192497393), HFloat(11.996159621112872), HFloat(11.023936524697616), HFloat(10.008669178463672), HFloat(8.975650531818998), HFloat(7.948871050818295), HFloat(6.949767852098431), HFloat(5.996812372845334), HFloat(5.104581046389905), HFloat(4.284319984086291), HFloat(3.5433223456935528), HFloat(2.8854656435430406), HFloat(2.3113843263296276), HFloat(1.8191051825492703), HFloat(1.4046205500595659), HFloat(1.0619718079409348), HFloat(0.784243700235652), HFloat(0.5637546424021248), HFloat(0.39261402841609716), HFloat(0.26300727696967563), HFloat(0.1676022451729217), HFloat(0.09950501456835244), HFloat(0.05276898931820286), HFloat(0.022208685153363765), HFloat(0.0034979160857172642), HFloat(-0.0068657700037872615), HFloat(-0.011620118830512255), HFloat(-0.012831176493821891), HFloat(-0.01199975128469045), HFloat(-0.010159616971257486), HFloat(-0.007989896808169333), HFloat(-0.00589456051995726), HFloat(-0.00408474277870436), HFloat(-0.002644602606291918), HFloat(-0.0015737857562143872), HFloat(-8.286217546599032e-4), HFloat(-3.4592329134206765e-4), HFloat(-5.849834612465939e-5), HFloat(8.924183025638507e-5), HFloat(1.5001094320898133e-4), HFloat(1.5998805414824002e-4), HFloat(1.4437616090641532e-4), HFloat(1.1948838247294166e-4), HFloat(9.438032839543576e-5), HFloat(7.316838034449886e-5), HFloat(5.6591323759713274e-5), HFloat(4.4264905556369225e-5), HFloat(3.42186876063437e-5), HFloat(2.5021556314654777e-5), HFloat(1.5583664857464896e-5), HFloat(5.6385757712731825e-6), HFloat(-5.3275793443416805e-6), HFloat(-1.6045293693179578e-5), HFloat(-2.5817725426274037e-5), HFloat(-3.352726981393149e-5), HFloat(-3.8385952061904546e-5), HFloat(-3.965560700306478e-5), HFloat(-3.7243140663913855e-5), HFloat(-3.155030157464335e-5), HFloat(-2.337313732953488e-5), HFloat(-1.3320560937865262e-5), HFloat(-3.50418234648856e-6), HFloat(5.540028908243629e-6), HFloat(1.2524770007189394e-5), HFloat(1.7073457116507357e-5), HFloat(1.8708225133371985e-5), HFloat(1.7701653217757437e-5), HFloat(1.4623865597543186e-5), HFloat(1.0175560668185901e-5), HFloat(5.214167123621291e-6), HFloat(4.797650792676976e-7), HFloat(-3.2919454969322776e-6), HFloat(-5.7436329729945125e-6), HFloat(-6.838751417646233e-6), HFloat(-6.6093927912591425e-6), HFloat(-5.4885037553175774e-6), HFloat(-3.746109768848459e-6), HFloat(-1.8257548729270171e-6), HFloat(-6.669823964428799e-8), HFloat(1.252092158217382e-6), HFloat(2.0074350746210378e-6), HFloat(2.2377694266974552e-6), HFloat(2.02006168692389e-6), HFloat(1.504764981773835e-6), HFloat(8.601728543038608e-7), HFloat(2.3894588944372517e-7), HFloat(-2.5160448936342736e-7), HFloat(-5.561018667238092e-7), HFloat(-6.696078700258816e-7), HFloat(-6.213845272228045e-7), HFloat(-4.68538082641874e-7), HFloat(-2.69994919902449e-7), HFloat(-7.800211168313004e-8), HFloat(1.4052446014541566e-8), HFloat(1.5750721583688112e-7), HFloat(1.8877386994167574e-7), HFloat(1.6961438290291193e-7), HFloat(1.2128521424624616e-7), HFloat(8.774226604463782e-8), HFloat(6.642970657423184e-9), HFloat(-4.566438822213199e-8), HFloat(-6.992151925716301e-8), HFloat(-6.745325366085338e-8), HFloat(-4.959282338574516e-8), HFloat(-2.6443615148317168e-8), HFloat(-6.041131124902863e-9), HFloat(8.329679821070189e-9), HFloat(1.4943663548620636e-8), HFloat(1.55070180285137e-8), HFloat(1.247076547701608e-8), HFloat(7.432139790580089e-9), HFloat(2.5770510607048068e-9), HFloat(-1.0161333699501456e-9), HFloat(-2.987930555580264e-9), HFloat(-2.4306746069083186e-8), HFloat(-2.9934400562245605e-9), HFloat(-1.9751069539745235e-9), HFloat(-8.777846107070544e-10), HFloat(2.3380121237654402e-7), HFloat(8.30791125367846e-8), HFloat(-2.972322167749468e-8), HFloat(-8.728995933444071e-8), HFloat(-9.545935109738457e-8), HFloat(-7.217057651414578e-8), HFloat(-3.7286535678145796e-8), HFloat(-5.943853021904159e-9), HFloat(1.4009194287973976e-8), HFloat(2.1366019628235056e-8), HFloat(1.9195068065111276e-8), HFloat(1.2153590287401112e-8), HFloat(4.423641475609614e-9), HFloat(-1.3550835012940617e-9), HFloat(-4.247800804847201e-9), HFloat(-4.595431218053097e-9), HFloat(-3.37785728176737e-9), HFloat(-1.6408199896045958e-9), HFloat(-1.470963993346052e-10), HFloat(7.435726927689552e-10), HFloat(1.0141718404732006e-9), HFloat(8.483109366941543e-10), HFloat(4.868447488763738e-10), HFloat(1.3044852753670129e-10), HFloat(-1.1058454778456778e-10), HFloat(-2.101848180300784e-10), HFloat(-1.9821786201223902e-10), HFloat(-1.2834313846846617e-10), HFloat(-4.738629156115246e-11), HFloat(1.2798544031600627e-11), HFloat(4.14702177578367e-11), HFloat(4.399736945552101e-11), HFloat(3.0426918677352054e-11), HFloat(1.3231113142805841e-11), HFloat(-2.0196512501386664e-13)]

(8)

uu18000 := [seq(evalf(Int(E(i-xi, 18000)*f(xi), xi = 0 .. 20000, method = _NCrule, epsilon = 10^(-6))), i = 0 .. 20000, 100)]

[HFloat(7.409509418160813), HFloat(7.595059847681534), HFloat(7.992113526121652), HFloat(8.57518284010406), HFloat(9.329524598894817), HFloat(10.217390519263928), HFloat(11.19798923534698), HFloat(12.2253864661297), HFloat(13.252011379529215), HFloat(14.228035600747651), HFloat(15.10873796661343), HFloat(15.928306880789524), HFloat(16.50909223938234), HFloat(16.879261949948738), HFloat(17.027101643551294), HFloat(16.934536283737913), HFloat(16.660457038703544), HFloat(16.17264642976531), HFloat(15.468901461155456), HFloat(14.61916560864992), HFloat(13.6337690796214), HFloat(12.54301260021309), HFloat(11.379068648385934), HFloat(10.174383852974936), HFloat(8.961113738740105), HFloat(7.7691034122590406), HFloat(6.6250465815945585), HFloat(5.54621611984644), HFloat(4.564001713323817), HFloat(3.6768047115314864), HFloat(2.8960811065620335), HFloat(2.2239117808521556), HFloat(1.6581171483741708), HFloat(1.1931512054245996), HFloat(0.820804903652921), HFloat(0.5309226184525386), HFloat(0.3127347087209871), HFloat(0.15480307255474524), HFloat(0.04618543021962802), HFloat(-0.023390810685535716), HFloat(-0.06317513410920489), HFloat(-0.08130139046340634), HFloat(-0.08452908968714502), HFloat(-0.07832436295542394), HFloat(-0.06689227264820587), HFloat(-0.05336426946955139), HFloat(-0.03987490010746672), HFloat(-0.02775140359419409), HFloat(-0.017687158552281923), HFloat(-0.009906894287553753), HFloat(-0.004322400129422728), HFloat(-6.343682266780555e-4), HFloat(0.0015197673306707878), HFloat(0.0025368519731222092), HFloat(0.002781037866365493), HFloat(0.002555248299068407), HFloat(0.002091754224621768), HFloat(0.0015554926391638543), HFloat(0.00104944261656644), HFloat(6.299674375428231e-4), HFloat(3.163257635968789e-4), HFloat(1.0692242195814104e-4), HFloat(-1.4682096270099988e-5), HFloat(-7.020183987922623e-5), HFloat(-8.139785333180154e-5), HFloat(-6.773855838636202e-5), HFloat(-4.3878953331669875e-5), HFloat(-2.0134170468864147e-5), HFloat(-2.9778389046638165e-6), HFloat(4.859865606967784e-6), HFloat(4.426680936424721e-6), HFloat(-4.076457754723723e-6), HFloat(-1.6649469936260864e-5), HFloat(-3.0315584028964042e-5), HFloat(-4.2813609850970516e-5), HFloat(-5.129605307813786e-5), HFloat(-5.4537089044370886e-5), HFloat(-5.1993545923725376e-5), HFloat(-4.4138457837053646e-5), HFloat(-3.229569339375092e-5), HFloat(-1.7672864371638124e-5), HFloat(-2.6073560261864707e-6), HFloat(1.1097166538272856e-5), HFloat(2.1974367775710724e-5), HFloat(2.874650721630383e-5), HFloat(3.145780755068448e-5), HFloat(2.9812577905438363e-5), HFloat(2.4905760708078658e-5), HFloat(1.759804784988322e-5), HFloat(9.16017076530884e-6), HFloat(1.0541983777672445e-6), HFloat(-5.675869533939248e-6), HFloat(-1.0469181703583092e-5), HFloat(-1.2886408184006528e-5), HFloat(-1.298955579846072e-5), HFloat(-1.1340058392063555e-5), HFloat(-8.26558853324741e-6), HFloat(-4.718167487741519e-6), HFloat(-1.1979773925744327e-6), HFloat(1.728296755733973e-6), HFloat(3.707714367798811e-6), HFloat(4.6754581492807254e-6), HFloat(4.666681190695684e-6), HFloat(3.918025783827286e-6), HFloat(2.715485174422845e-6), HFloat(1.3597049889685049e-6), HFloat(1.1321481014467643e-7), HFloat(-8.523092901966158e-7), HFloat(-1.4154515756456405e-6), HFloat(-1.5882880279368063e-6), HFloat(-1.4383498400492715e-6), HFloat(-1.0744156221858616e-6), HFloat(-6.16773101137574e-7), HFloat(-1.7253915922647237e-7), HFloat(1.8083545351203652e-7), HFloat(4.026132753252526e-7), HFloat(4.872073588302888e-7), HFloat(4.563149194507083e-7), HFloat(3.481120903038017e-7), HFloat(2.040466712264077e-7), HFloat(6.284345372316295e-8), HFloat(-4.905405413167501e-8), HFloat(-1.1809113715233529e-7), HFloat(-1.4149814339337468e-7), HFloat(-1.3178269431693502e-7), HFloat(-9.713101022037339e-8), HFloat(-5.335863052590509e-8), HFloat(-1.2175928133867007e-8), HFloat(-7.580138951268074e-9), HFloat(3.26688921369612e-8), HFloat(5.2964525190902256e-8), HFloat(5.302439497119996e-8), HFloat(3.981137006945887e-8), HFloat(2.0793273444005258e-8), HFloat(3.3588733739810424e-9), HFloat(-8.836883716040163e-9), HFloat(-1.4942798952101338e-8), HFloat(-1.5193433202642635e-8), HFloat(-1.1565432064799109e-8), HFloat(-6.343527253139991e-9), HFloat(-1.4132035451038641e-9), HFloat(2.0836345814511634e-9), HFloat(3.784755156699577e-9), HFloat(1.723798436684402e-7), HFloat(-2.5790829031594663e-7), HFloat(1.713125842617808e-9), HFloat(4.659566023216503e-10), HFloat(-3.2760310807868565e-7), HFloat(-1.628869086864372e-7), HFloat(-1.7876140021860788e-8), HFloat(7.533503988795572e-8), HFloat(1.112367369329852e-7), HFloat(1.0225827740024424e-7), HFloat(6.84440798974735e-8), HFloat(2.894996085227409e-8), HFloat(-2.9518551976072232e-9), HFloat(-2.1313245911587584e-8), HFloat(-2.6327828671265363e-8), HFloat(-2.1882240401087846e-8), HFloat(-1.3007525599512765e-8), HFloat(-4.002452912218396e-9), HFloat(2.506148895850859e-9), HFloat(5.655877370358561e-9), HFloat(5.8920960347118725e-9), HFloat(4.32681909858327e-9), HFloat(2.144696894945916e-9), HFloat(2.338795733477704e-10), HFloat(-9.599803561210672e-10), HFloat(-1.3798759544432389e-9), HFloat(-1.2198879424870417e-9), HFloat(-7.661783927072736e-10), HFloat(-2.7245738448279275e-10), HFloat(9.592528687270006e-11), HFloat(2.826919036843557e-10), HFloat(3.0627023427261033e-10), HFloat(2.2732588977774642e-10), HFloat(1.128272083797884e-10), HFloat(1.1662482202270612e-11), HFloat(-4.8921391216900934e-11), HFloat(-6.949592201876554e-11), HFloat(-5.96493821722168e-11), HFloat(-3.5627919267687115e-11), HFloat(-1.2085657608372612e-11), HFloat(5.85906793877762e-12), HFloat(1.440554016777574e-11), HFloat(1.4823700647799498e-11), HFloat(1.0632837567752218e-11), HFloat(5.027622274677454e-12), HFloat(-3.9812600630158934e-13), HFloat(-3.3886345270870547e-12), HFloat(-4.049181293661401e-12), HFloat(-2.7927956342052716e-12), HFloat(-1.5823963888778041e-12), HFloat(7.028152814608126e-14), HFloat(3.681496828628412e-13), HFloat(4.0798107191893156e-13), HFloat(6.462582417387677e-13), HFloat(5.197168034653561e-13), HFloat(2.4345526773453285e-13), HFloat(3.1401339323304314e-14), HFloat(-1.27380542074307e-13)]

(9)

NULL

xx := [seq(i, i = 0 .. 20000, 100)]

NULL

p1 := pds1:-plot(t = 29999, numpoints = 100, color = blue, legend = ["direct,t=19499"], labels = ["x", "concentration"])

p2 := plot(xx, uu1, color = red, legend = [''inverse, t = 1''])

p3 := pds1:-plot(t = 25000, numpoints = 100, color = blue, legend = ["direct,t=16000"], labels = ["x", "concentration"])

p4 := plot(xx, uu5000, color = red, legend = [''inverse, t = 1''])

``

p7 := pds1:-plot(t = 16000, numpoints = 100, color = blue, legend = ["direct,t=9000"], labels = ["x", "concentration"])

p8 := plot(xx, uu14000, color = green, legend = [''inverse''])

p9 := pds1:-plot(t = 12000, numpoints = 100, color = blue, legend = ["direct,t=9000"], labels = ["x", "concentration"])

p10 := plot(xx, uu18000, color = green, legend = [''inverse''])

NULL

plots[display]({p1, p2})

 

plots[display]({p3, p4})

 

plots[display]({p5, p6})

Error, (in plots:-display) expecting plot structures but received: {p5, p6}

 

plots[display]({p7, p8})

 

plots[display]({p10, p9})

 

NULL

NULL

NULL

NULL

NULL

NULL

NULL

NULL

NULL

NULL

NULL

NULL

``

``

``


 

Download Error10%.mw

Error10%.mw

er.xls

sigma(integral(F(w,cn1,ct1))+integral(F(w,cn2,ct2))+...+integral(F(w,cn80,ct80)))

integral.mw

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