Cubic spline scheme on variable mesh for singularly perturbed periodical boundary value problem

DOI10.30755/NSJOM.09886zbMATH Open1462.65089OpenAlexW2985449179MaRDI QIDQ4985323

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

Publication date: 23 April 2021

Published in: Novi Sad Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30755/nsjom.09886

zbMATH Keywords

singular perturbationboundary layersvariable meshcubic spline schemeperiodical boundary value problem

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) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Cites Work

• A uniformly convergent difference method for the periodical boundary value problem
• Variable mesh spline approximation method for solving singularly perturbed turning point problems having boundary layer(s)
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
• An Analysis of a Uniformly Accurate Difference Method for a Singular Perturbation Problem
• Uniformly convergent second-order difference scheme for a singularly perturbed periodical boundary value problem
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Related Items (2)

A system of singularly perturbed periodic boundary value problem: hybrid difference scheme ⋮ A variable-mesh approximation method for singularly perturbed boundary-value problems using cubic spline in tension

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