Question: Why cannot Maple animate a function that is a convolution of Dirac delta-function and an ordinary function?

Maple can plot a function that is a convolution of Dirac delta-function and some regular function.

restart

with(plots); a := 1.0

f := proc (x) options operator, arrow; exp(-abs(x)) end proc
G := proc (x, xi, t) options operator, arrow; `if`(t = 0, Dirac(x-xi), (1/2)*exp(-(1/4)*(x-xi)^2/(a^2*t))/sqrt(Pi*a^2*t)) end proc


u := proc (t, x) options operator, arrow; int(G(x, xi, t)*f(xi), xi = -infinity .. infinity) end proc; plot(u(0., x), x = -3*Pi .. 3*Pi)

1.0

 

proc (x) options operator, arrow; exp(-abs(x)) end proc

 

proc (t, x) options operator, arrow; int(G(x, xi, t)*f(xi), xi = -infinity .. infinity) end proc

 

 

Hovewer, it is unable animate this function (the first frame is empty).

n := 10:

 

``

Is it a bug? Is there a nice workarround of this bug?

Download Heat_Equation2.mw

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