Hi everybody, I hope I am asking in the right forum. Let describe the problem as follows: I have a 1D heat equation. To solve it, I use finite-difference method to discretize the PDE and obtain a set of N ODEs. The larger N gives the better solution, i.e., the closer the solution to the original PDE. I can also further discretized in time so that I have a set of difference-equations and find the temperature distribution. My question: Are there tools that can be used to analyze the influence of the discretization (spatially) to the analytic solution? Thank you in advance.