Numerical solution of a two-dimensional singularly perturbed reaction-diffusion problem with discontinuous coefficients

DOI10.1016/j.amc.2006.04.027zbMath1113.65106OpenAlexW2048721819MaRDI QIDQ861155

Iliya A. Brayanov

Publication date: 9 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.04.027

zbMATH Keywords

singular perturbationuniform convergencenumerical experimentsShishkin mesha priori error estimatesexponential layerselliptic reaction-diffusion problemfinite volume difference scheme

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs with low regular coefficients and/or low regular data (35R05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)

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