An adaptive splitting approach for the quenching solution of reaction-diffusion equations over nonuniform grids

DOI10.1016/J.CAM.2012.10.005zbMath1264.65149OpenAlexW2059276519MaRDI QIDQ1931781

Publication date: 16 January 2013

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

Full work available at URL: https://doi.org/10.1016/j.cam.2012.10.005

zbMATH Keywords

stability numerical examples nonuniform grids quenching singularity Peaceman-Rachford splitting method degenerate reaction-diffusion equations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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