A Technique to Construct Grid Methods of Higher Accuracy Order for a Singularly Perturbed Parabolic Reaction-Diffusion Equation

DOI10.1007/978-3-319-06923-4_13zbMath1319.65080OpenAlexW176009756MaRDI QIDQ5265313

L. P. Shishkina, G. I. Shishkin

Publication date: 23 July 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-06923-4_13

zbMATH Keywords

\(\varepsilon\)-uniform convergenceRichardson extrapolationuniform gridsmaximum normasymptotic construction techniqueparabolic reaction-diffusion equationparabolic boundary layerhigher-order finite difference schemedecomposition of grid solution

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) 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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Cites Work

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• A Richardson scheme of the decomposition method for solving singularly perturbed parabolic reaction-diffusion equation
• Difference Methods for Singular Perturbation Problems

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