FINITE DIFFERENCE SCHEME FOR A SINGULARLY PERTURBED PARABOLIC EQUATIONS IN THE PRESENCE OF INITIAL AND BOUNDARY LAYERS

DOI10.3846/1392-6292.2008.13.483-492zbMATH Open1177.65121OpenAlexW1993148498MaRDI QIDQ3604152

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Publication date: 24 February 2009

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

Full work available at URL: https://doi.org/10.3846/1392-6292.2008.13.483-492

zbMATH Keywords

singular perturbationinitial-boundary value problema priori estimatesboundary layerfinite difference approximationinitial layerparabolic reaction-diffusion equationinitial-boundary layerpiecewise-uniform grids\(\overline{\varepsilon}\)-uniform convergenceperturbation vector-parameter \(\overline{\varepsilon}\)

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) 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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