GRID APPROXIMATION OF SINGULARLY PERTURBED PARABOLIC EQUATIONS WITH MOVING BOUNDARY LAYERS

DOI10.3846/1392-6292.2008.13.421-442zbMath1177.65132OpenAlexW2091924312MaRDI QIDQ3602383

G. I. Shishkin

Publication date: 12 February 2009

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/1392-6292.2008.13.421-442

zbMATH Keywords

singular perturbationboundary value problem\(\varepsilon\)-uniform convergencefinite difference approximationparabolic reaction-diffusion equationmoving boundary layerKolmogorov's widths

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)

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