- #1

iamkratos

- 7

- 0

I am looking to solve a set of 1D PDEs. I thought the finite difference method would be a good way to go about it. So I decided to pick a simple first order forward difference scheme to obtain preliminary results.

I just have 1 question: According to my scheme, at the last node (node 'n') - [itex]\partial[/itex]u/[itex]\partial[/itex]x will be (u[itex]_{n+1}[/itex]-u[itex]_{n}[/itex])/[itex]\Delta[/itex]x. But node 'n+1' is outside my domain. How would 1 traditionally go about this problem?

Also: Is it generally required to stick to 1 discretization scheme for a system?

Thanks in advance,

-Shankar