Finite Difference Method in Matlab

I have the below set of equations and boundary conditions governing two phase fluid flow in an oil well and am struggling to start with a code to solve these with the finite difference method. I am looking to solve for Sw as function of radial distance r.
The variables are Po, Pw, So, Sw, r & t. The rest are constants which I have expertimetnal values for.
Any help would be highly appreciated as to how to start solving.
Thanks

1 个评论

Very, very difficult to solve.
You should use commercial software or at least a free solver that is especially written for this type of equations.
Here is the preferred software for your application:

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R2021a

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