Finite Volume Method (FVM) for PDE (TUTORIAL)

This is one way to use FVM to solve PDEs. There are other kinds of meshes (triangular, etc) that people may work with, but I hope this gives you all a basic understanding of this technique.

[@tel-avivtutorials5549]

PLEASE NOTE that in 4:51 I made a mistake and it's actually i-1/2 and j-1/2 because our count for i and j starts from 1 for both. So the coordinates for x in the bottom left square would be (1-1/2)*∆x = 0.5*∆x

[@eng.ahmadbrakat6510]

Can you get me matlab code for this methode

[@weslylai6621]

why don't you take into account the boundary conditions? how i can use FVM to solve poisson equation with boundary condition ?

[@mathunt1130]

That's part of the FVM, the fluxes include the boundary conditions.