Hexagonal grid methods with applications to partial differential equations

DOI10.1080/00207160.2013.864392zbMath1304.65191OpenAlexW1989543751MaRDI QIDQ2931941

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Publication date: 28 November 2014

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2013.864392

zbMATH Keywords

numerical examplesreaction-diffusionfinite differencecompact schememonodomain modelhexagonal finite volume

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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Enhancing finite differences with radial basis functions: experiments on the Navier-Stokes equations, A fourth-order seven-point cubature on regular hexagons, Hexagonal grid approximation of the solution of the heat equation on special polygons

Cites Work

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• Wave Propagation in Excitable Media with Randomly Distributed Obstacles