A higher order difference method for singularly perturbed parabolic partial differential equations

DOI10.1080/10236198.2017.1420792zbMath1427.65156OpenAlexW2783832701MaRDI QIDQ5243408

Pratibhamoy Das

Publication date: 18 November 2019

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2017.1420792

zbMATH Keywords

singular perturbationimplicit Euler methodboundary layerRichardson extrapolationequidistribution principleparabolic convection-diffusion problempostprocessing methodshigher-order convergence in space and time

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) 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) 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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