A system of singularly perturbed periodic boundary value problem: hybrid difference scheme

DOI10.1007/S40819-020-00842-1zbMath1442.65133OpenAlexW3031170710MaRDI QIDQ2187017

T. Valanarasu, A. Ramesh Babu, A. Puvaneswari

Publication date: 10 June 2020

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-020-00842-1

zbMATH Keywords

singularly perturbed problemperiodic boundary conditionsboundary layershybrid difference schemeweakly coupled system

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Cites Work

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• A uniformly convergent difference method for the periodical boundary value problem
• The midpoint upwind scheme
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
• Cubic spline scheme on variable mesh for singularly perturbed periodical boundary value problem
• Uniformly convergent second-order difference scheme for a singularly perturbed periodical boundary value problem

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