- #1
zhidayat
- 8
- 0
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.
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.