Hi everybody,(adsbygoogle = window.adsbygoogle || []).push({});

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.

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# Analysis of spatial discretization of a PDE

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