Higher order formulation question
This is my first post on here and I'm starting by asking for help :confused:
I'm trying to build a simple code that will solve the advection equation. Starting from a simple upwind scheme then to a central differencing scheme then on to a third order scheme.
The first two schemes as you'd expect worked easily however once I've tried to move to third order I cant get any results.
so by using a finite volume formulation and polynomial fitting I get a formulation ranging from node E to W-3.
So my 1D formulation becomes;
So when i solve this in matrix form the result does not travel in the x direction at all but instead just reduces the values more and more.
an anyone help me?
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