The Richardson scheme for the singularly perturbed parabolic reaction-diffusion equation in the case of a discontinuous initial condition

DOI10.1134/S0965542509080065zbMath1199.65284MaRDI QIDQ3652371

G. I. Shishkin

Publication date: 17 December 2009

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://www.maik.ru/abstract/commat/9/commat1348_abstract.pdf

zbMATH Keywords

\(\varepsilon\)-uniform convergencegrid approximationsingularly perturbed boundary value problemRichardson techniqueparabolic reaction-diffusion equationspecial gridsmethod of additive splitting of singulartiespiecewise continuous initial condition

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)

Related Items (4)

Difference scheme of highest accuracy order for a singularly perturbed reaction-diffusion equation based on the solution decomposition method ⋮ Difference Schemes of High Accuracy Order on Uniform Grids for a Singularly Perturbed Parabolic Reaction-Diffusion Equation ⋮ Second-order parameter-uniform finite difference scheme for singularly perturbed parabolic problem with a boundary turning point ⋮ A higher order accurate solution decomposition scheme for a singularly perturbed parabolic reaction-diffusion equation

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