I am learning how to use Mathematica to solve PDEs. As a learning activity I put together the attached notebook to solve the heat equation for an annular space that contains heating/cooling tubes. At this point I am only implementing Dirichlet boundary conditions as I am still working to understand Neuman conditions. I have two questions.
Why will the second version of the Dirichlet condition shown in the notebook not work?
Why am I getting 4 fold symmetry in the initial condition and solution? I would expect 8 fold symmetry given the way the problem is set up.
As always any insight would be helpfull.
