A numerical treatment of a superdegenerate equation with applications to the porous media equation

DOI10.1090/qam/1040238zbMath0829.76084OpenAlexW2340493213MaRDI QIDQ4712615

Roberta Dal Passo, Michiel Bertsch

Publication date: 25 June 1992

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/1040238

zbMATH Keywords

initial-boundary value problemuniquenessfree boundariesfixed boundaryBarenblatt-Pattle exact solutionBarruman's transformationlinearly implicit finite difference scheme

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Free boundary problems for PDEs (35R35)

Related Items (4)

Numerical methods for porous medium equation by an energetic variational approach ⋮ On the interfaces in a nonlocal quasilinear degenerate equation arising in population dynamics ⋮ Regularity of the free boundary in a doubly degenerate parabolic equation ⋮ On Lagrangian schemes for porous medium type generalized diffusion equations: a discrete energetic variational approach

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