Numerical analysis of singularly perturbed system of parabolic convection-diffusion problem with regular boundary layers

DOI10.1007/s12591-019-00462-2zbMath1492.65245OpenAlexW2919945433WikidataQ128283603 ScholiaQ128283603MaRDI QIDQ2155476

Maneesh Kumar Singh, Srinivasan Natesan

Publication date: 15 July 2022

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-019-00462-2

zbMATH Keywords

uniform convergencefinite difference schemeboundary layersShishkin meshsingularly perturbed systemparabolic convection-diffusion problems

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 boundary value problems involving PDEs (65N50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (3)

An efficient finite difference method for coupled systems of singularly perturbed parabolic convection-diffusion problems ⋮ Efficient approximation of solution derivatives for system of singularly perturbed time-dependent convection-diffusion PDEs on Shishkin mesh ⋮ A unified study on superconvergence analysis of Galerkin FEM for singularly perturbed systems of multiscale nature

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