A robust layer adapted difference method for singularly perturbed two-parameter parabolic problems

DOI10.1080/00207160.2014.928701zbMath1314.65111OpenAlexW2005649861MaRDI QIDQ5248095

Anuradha Jha, Mohan K. Kadalbajoo

Publication date: 27 April 2015

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2014.928701

zbMATH Keywords

finite difference methoduniform convergencesingular perturbationsimplicit Euler methodupwind methodnumerical resultconvection-diffusion-reaction problemtwo parametersunsteady problemShishkin-Bakhvalov mesh

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)

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Cites Work

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• An elliptic singularly perturbed problem with two parameters. II: Robust finite element solution
• A parameter robust second order numerical method for a singularly perturbed two-parameter problem
• Singular perturbations of boundary value problems for linear ordinary differential equations involving two parameters
• A robust fitted operator finite difference method for a two-parameter singular perturbation problem¹
• Singularly Perturbed Problems Modeling Reaction-convection-diffusion Processes
• The Sdfem for a Convection-diffusion Problem with Two Small Parameters
• Parameter-uniform finite difference schemes for singularly perturbed parabolic diffusion-convection-reaction problems

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