Numerical Method for a Singularly Perturbed Boundary Value Problem for a Linear Parabolic Second Order Delay Differential Equation

DOI10.1007/978-81-322-3598-9_7zbMath1453.65184OpenAlexW2516039203MaRDI QIDQ4609533

Franklin Victor, Parthiban Swaminathan, S. Valarmathi

Publication date: 4 April 2018

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-81-322-3598-9_7

zbMATH Keywords

finite difference schemeboundary layersShishkin meshsingular perturbation problemsparameter uniform convergenceparabolic delay-differential equations

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11) Numerical methods for functional-differential equations (65L03)

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Cites Work

• A parameter-robust finite difference method for singularly perturbed delay parabolic partial differential equations
• Linear and quasilinear elliptic equations
• A Parameter-Uniform Numerical Method for a Boundary Value Problem for a Singularly Perturbed Delay Differential Equation
• Second order parameter-uniform convergence for a finite difference method for a singularly perturbed linear parabolic system
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