An overlapping numerical method for a partially singularly perturbed initial value problem

DOI10.1007/s10598-020-09482-yzbMath1441.34024OpenAlexW3033354060MaRDI QIDQ2199090

A. Tamilselvan, J. Christy Roja

Publication date: 16 September 2020

Published in: Computational Mathematics and Modeling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10598-020-09482-y

zbMATH Keywords

finite difference schemeinitial value problemsystem of differential equationshybrid difference schemesingularly perturbed problemsfitted mesh

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear ordinary differential equations and systems (34A30) Singular perturbations of ordinary differential equations (34D15)

Cites Work

• Solving a partially singularly perturbed initial value problem on Shishkin meshes
• A parameter uniform numerical method for a system of singularly perturbed ordinary differential equations
• A numerical method for a system of singularly perturbed reaction-diffusion equations
• Approximation of the solutions of singularly perturbed boundary-value problems with a parabolic boundary layer
• A Parameter-Uniform Finite Difference Method for a Singularly Perturbed Initial Value Problem: a Special Case
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