I have found numerous ways of plotting PDEs, but I am trying to ask Maple to calculate the simple analytical solution of one.
Now, Maple is very happy to solve the following with one initial condition:
pde := diff(u(z, t), t)+c*(diff(u(z, t), z)) = A;
IBC := (u(z, 0) = f(z));
However, when we take,
IBC := (u(z, 0) = f(z), D(u)(0, t) = 0, D(u)(-h, t) = 0);
instead, (the initial condition, along with two boundary conditions du/dz evaluated at z=0 and z=-h, set to 0, but could be any number/simple function),
Maple will not calculate the answer, nor will it display an error message for me to work out where it is going wrong.
h is a positive integer and so are c and A.
This is just a simple example. But I have seen the same method work fine for more complex PDEs so I don't know why it won't work for this one. Can anyone see where the problem is please?
Thanks and kind regards,