Generic Partial Differential Equations may yield arbitrary functions in their solutions.
When matching this generic solutions to initial or boundary conditions, we get a functional equation: that is an equation whose variable is a function (without derivatives). If the function to be found has the same parameters everywhere, that case reduces to a simple equation. If the parameters are different, that can be very complicated to deal. Which case is the better one: 1. Given a PDE and initial/final/boundary conditions, implement an algorithm which finds the solution without passing through the generic arbitrary function solution. 2. Find the general solution of the PDE, then solve a functional equation to match the initial/boundary conditions. I don't know very much theory about general functional equation solving, is there any idea? Maybe a functional equation solver may be useful even outside of PDE solvers? -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at http://groups.google.com/group/sympy?hl=en-US. For more options, visit https://groups.google.com/groups/opt_out.
