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Question: Maple PDE solver

Question:Maple PDE solver

Nick_99 55
pde pdsolve differential-equations
April 27 2021
0

Hello,

does Maple have a PDE solver? I want to solve the following inhomogeneous case of the heat equation:

diff(u(t,x,y,z),t)=k*Laplacian(u(t,x,y,z))+l*u(t,x,y,z)+m

with boundary conditions u(t,0,y,z)=u(t,L,y,z)=u(t,x,0,z)=u(t,x,L,z)=u(t,x,y,0)=u(t,x,y,L)=0. The initial condition is not fixed, as I want to try different cases. It will probably be some sinusoidal spatial function. I would prefer an analytic solution but I could live with a numerical one. If not in three spatial dimensions then even a solution with one dimension would be useful. I would appreciate any help.

Thank you.
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