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Question: How to find out f'(x,t) and f''(x,t) values

Question:How to find out f'(x,t) and f''(x,t) values

666 jvbasha 130 Maple 18
export pde pdsolve differential-equations plotting duplicate-question
May 03 2021
2

Dear maple users,

In this code, how to find out the f'(x,t) and f''(x,t) values.
How to export the computed values in the excel file.JVB.mw

> 

restart:
> 

with(PDEtools):
> 

with(plots):
> 

fcns := {f(x,t)};

{f(x, t)}

 (1)
> 

ra:=2:b1:=1.41:na:=0.7:we:=0.5:eta[1]:=4*0.1:d:=0.5/1:xi:=0.1:m:=na:ea:=0.5:pr:=21: gr:=0.1:
> 

R:=0.9323556933;

.9323556933

 (2)
> 

PDE1 :=ra*(diff(f(x,t),t))=+b1*(1+ea*cos(t))+(1/(R^2))*((diff(f(x,t),x,x))+(1/x)*diff(f(x,t),x));

2*(diff(f(x, t), t)) = 1.41+.705*cos(t)+1.150367877*(diff(diff(f(x, t), x), x))+1.150367877*(diff(f(x, t), x))/x

 (3)
> 

IBC := {D[1](f)(0,t)=0,f(1,t)=0,f(x,0)=0};

{f(1, t) = 0, f(x, 0) = 0, (D[1](f))(0, t) = 0}

 (4)
> 

sol :=  pdsolve({PDE1}, IBC, numeric,spacestep = 0.025, timestep=0.0001) ;

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

 (5)
> 

sol:-plot[display](f(x, t), t = 1.2, linestyle = "solid", title = "Velocity Profile", labels = ["r", "f"]);

 
> 

``


 

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