Improved difference scheme of the solution decomposition method for a singularly perturbed reaction-diffusion equation

DOI10.1134/S0081543811020155zbMath1227.65067MaRDI QIDQ643819

L. P. Shishkina, G. I. Shishkin

Publication date: 2 November 2011

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemdecomposition methoddifference schemesingularly perturbed boundary value problemuniform grids\(\varepsilon \)-uniform convergenceasymptotic construction techniquedecomposition of a discrete solutionordinary differential reaction-diffusion equationRichardson technique

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (3)

Difference scheme of highest accuracy order for a singularly perturbed reaction-diffusion equation based on the solution decomposition method ⋮ Conditioning and stability of finite difference schemes on uniform meshes for a singularly perturbed parabolic convection-diffusion equation ⋮ A higher order accurate solution decomposition scheme for a singularly perturbed parabolic reaction-diffusion equation

Cites Work

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• Difference Methods for Singular Perturbation Problems
• A Class of Singularly Perturbed Convection-Diffusion Problems with a Moving Interior Layer. An a Posteriori Adaptive Mesh Technique
• RELAXATION METHODS APPLIED TO DETERMINE THE MOTION, IN TWO DIMENSIONS, OF A VISCOUS FLUID PAST A FIXED CYLINDER

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