Hi to all who read this, I know that the topic of second order PDE solvers has already been discussed in this forum but I thought that I would raise it again because I didn't see anything showing it had been resolved. I am currently taking a degree in mathematics with a minor in computer science and am enrolled in an introductory PDE course this term. I noticed that the pde solver as it currently stands only solves first order linear PDEs. I am wondering if it would be of help if I tried to implement a solver for second order linear PDEs that are of hyperbolic, elliptic and parabolic classifications. As a result the classify_pde would also be updated to classify a second order linear PDE. If this is successful I could also try to use the Fourier series or other methods to solve second order linear PDEs and heat and wave equations. The algorithms would be theoretical as that is how I am being taught PDEs so as a result the solutions would not be numerical unless I run into issues with the theoretical side. I have not yet done any patches for sympy and so I am unsure if that is required before I can dig into implementing code in a module.
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