A numerical integration method for solving singular perturbation problems

DOI10.1016/0096-3003(90)90037-4zbMath0704.65057OpenAlexW2075665741MaRDI QIDQ917232

Y. N. Reddy

Publication date: 1990

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(90)90037-4

zbMATH Keywords

finite differencesboundary layerSimpson's rulesmall deviating argumentlinear singularly perturbed two-point boundary value problemsTaylor's expansions

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (3)

A Numerical Approach for Solving Nonlinear Singularly Perturbed Boundary Value Problem Arising in Control Theory ⋮ Non-standard difference schemes for singular perturbation problems revisited ⋮ A note on the numerical-integration method for solving singular perturbation problems

Cites Work

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• Asymptotic and numerical analysis of singular perturbation problems: A survey
• Introduction to the theory and application of differential equations with deviating arguments. Translated from the Russian by John L. Casti

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