Solution of porous medium type systems by linear approximation schemes. (English) Zbl 0744.65060

The aim of this paper is to analyze the convergence of linear semi- discrete and discrete schemes for non-linear degenerate parabolic systems. Convergence analysis for the problem is presented in various theorems. Numerical experiments are also presented for the validity of the proposed methods.


65M20 Method of lines for initial value and initial-boundary value problems involving PDEs
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
35K65 Degenerate parabolic equations
76S05 Flows in porous media; filtration; seepage
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