An explicit finite-difference scheme for one-dimensional Generalized Porous Medium Equations: Interface tracking and the hole filling problem

DOI10.1051/m2an/2015063zbMath1457.65059OpenAlexW2427531423MaRDI QIDQ2820341

Léonard Monsaingeon

Publication date: 15 September 2016

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2015063

zbMATH Keywords

finite-differenceinterface trackinghole fillinggeneralized porous medium equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Free boundary problems for PDEs (35R35) Moving boundary problems for PDEs (35R37) Quasilinear parabolic equations (35K59)

Related Items (7)

An asymptotic preserving scheme for a tumor growth model of porous medium type ⋮ Robust Numerical Methods for Nonlocal (and Local) Equations of Porous Medium Type. Part II: Schemes and Experiments ⋮ A degenerate elliptic-parabolic system arising in competitive contaminant transport ⋮ Finite difference schemes for the parabolic \(p\)-Laplace equation ⋮ Unnamed Item ⋮ Robust Numerical Methods for Nonlocal (and Local) Equations of Porous Medium Type. Part I: Theory ⋮ On Lagrangian schemes for porous medium type generalized diffusion equations: a discrete energetic variational approach

Cites Work

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