Physical-bound-preserving finite volume methods for the Nagumo equation on distorted meshes

DOI10.1016/J.CAMWA.2018.10.038zbMath1442.65210OpenAlexW2901185724WikidataQ128944986 ScholiaQ128944986MaRDI QIDQ2203799

Huifang Zhou, Zhiqiang Sheng, Guang-Wei Yuan

Publication date: 2 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.10.038

zbMATH Keywords

boundednessfinite volumeNagumo equationdistorted meshes

Mathematics Subject Classification ID

Neural biology (92C20) Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (7)

A New Lagrange Multiplier Approach for Constructing Structure Preserving Schemes, II. Bound Preserving ⋮ A finite volume scheme preserving the invariant region property for a class of semilinear parabolic equations on distorted meshes ⋮ A nonlinear convex combination in the construction of finite volume scheme satisfying maximum principle ⋮ A Maximum-Principle-Preserving Finite Volume Scheme for Diffusion Problems on Distorted Meshes ⋮ The finite volume scheme preserving maximum principle for two-dimensional time-fractional Fokker-Planck equations on distorted meshes ⋮ Conforming, nonconforming and DG methods for the stationary generalized Burgers-Huxley equation ⋮ Finite element analysis of nonlinear reaction-diffusion system of Fitzhugh-Nagumo type with Robin boundary conditions

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