A Parameter-Uniform Finite Difference Method for a Singularly Perturbed Initial Value Problem: a Special Case

DOI10.1007/978-3-642-00605-0_22zbMath1179.65097OpenAlexW181880502MaRDI QIDQ3653062

S. Valarmathi, John J. H. Miller

Publication date: 18 December 2009

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-00605-0_22

zbMATH Keywords

convergencenumerical resultssingular perturbationfinite difference methodinitial value problemShishkin piecewise-uniform mesh

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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