A moving mesh refinement based optimal accurate uniformly convergent computational method for a parabolic system of boundary layer originated reaction-diffusion problems with arbitrary small diffusion terms

DOI10.1016/j.cam.2020.113167zbMath1503.65184OpenAlexW3082301497MaRDI QIDQ2059578

Deepti Shakti, Pratibhamoy Das, Jugal Mohapatra, Jesus Vigo Aguiar

Publication date: 14 December 2021

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

Full work available at URL: https://doi.org/10.1016/j.cam.2020.113167

zbMATH Keywords

singularly perturbed problemboundary layeradaptive moving meshcoupled system of PDEsmodified implicit Euler schemeparabolic system of reaction-diffusion problemsr-refinement method

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Maximum principles in context of PDEs (35B50) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Comparison principles in context of PDEs (35B51) Initial-boundary value problems for second-order parabolic systems (35K51)

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