A Parameter Uniform Numerical Method for an Initial Value Problem for a System of Singularly Perturbed Delay Differential Equations with Discontinuous Source Terms

DOI10.1007/978-81-322-3598-9_8zbMath1453.65149OpenAlexW2513362252MaRDI QIDQ4609535

Nagarajan Shivaranjani, S. Valarmathi, John J. H. Miller

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_8

zbMATH Keywords

finite difference schemedelay differential equationsShishkin meshsingular perturbation problemsparameter-uniform convergencediscontinuous source termsinitial and interior layers

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) 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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