Higher order formulation question
Hi all
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 W3. So my 1D formulation becomes; AE(phi,i+1)+(1AP)(Phi,i)AW(phi,i1)AW1(phi,i2)AW2(phi,i2)AW3(phi,i3)=D 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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