A second-order accurate, energy stable numerical scheme for the one-dimensional porous medium equation by an energetic variational approach

DOI10.4310/CMS.2022.v20.n4.a3zbMath1496.65110OpenAlexW4226113170MaRDI QIDQ2129674

Cheng Wang, Chun Liu, Wenbin Chen, Chenghua Duan, Xing Ye Yue

Publication date: 22 April 2022

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cms.2022.v20.n4.a3

zbMATH Keywords

porous medium equationenergetic variational approachoptimal rate convergence analysistrajectory equation

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Initial-boundary value problems for higher-order parabolic equations (35K35) Flows in porous media; filtration; seepage (76S05) Variational methods applied to PDEs (35A15) Degenerate parabolic equations (35K65) 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) Asymptotic expansions of solutions to PDEs (35C20) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06)

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