Second order parameter-uniform convergence for a finite difference method for a singularly perturbed linear parabolic system

zbMath1279.65104arXiv1008.2470MaRDI QIDQ5298753

Victor Franklin, M. Paramasivam, S. Valarmathi, John J. H. Miller

Publication date: 14 June 2013

Full work available at URL: https://arxiv.org/abs/1008.2470

zbMATH Keywords

stabilityconvergencelinear systemsingular perturbationerror estimatesboundary layersShishkin meshdiscrete maximum principlefinite differenceparabolic initial-boundary value problem

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) 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) Initial-boundary value problems for second-order parabolic systems (35K51)

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