Uniform convergence and order reduction of the fractional implicit Euler method to solve singularly perturbed 2D reaction-diffusion problems

DOI10.1016/j.amc.2016.04.017zbMath1410.65303OpenAlexW2416475900MaRDI QIDQ1733540

J. C. Jorge, Carmelo Clavero

Publication date: 21 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2016.04.017

zbMATH Keywords

uniform convergenceorder reduction2D parabolic singularly perturbed problemsfractional implicit Euler methodnonuniform special meshes

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) 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)

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