Uniformly convergent second-order difference scheme for a singularly perturbed periodical boundary value problem

DOI10.1080/00207160903370172zbMath1217.65149OpenAlexW1965940265MaRDI QIDQ5391476

Zhongdi Cen

Publication date: 6 April 2011

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160903370172

zbMATH Keywords

singular perturbationuniform convergenceShishkin meshhybrid difference schememesh refinementsecond-order linear periodic boundary value problem

Mathematics Subject Classification ID

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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (4)

Numerical solution of singularly perturbed Fredholm integro-differential equations by homogeneous second order difference method ⋮ A system of singularly perturbed periodic boundary value problem: hybrid difference scheme ⋮ A robust numerical method for a singularly perturbed Fredholm integro-differential equation ⋮ Cubic spline scheme on variable mesh for singularly perturbed periodical boundary value problem

Cites Work

• Unnamed Item
• A uniformly convergent difference method for the periodical boundary value problem
• A finite difference analysis of a streamline diffusion method on a Shishkin mesh
• The midpoint upwind scheme
• A recent survey on computational techniques for solving singularly perturbed boundary value problems
• Tension spline method for second-order singularly perturbed boundary-value problems

This page was built for publication: Uniformly convergent second-order difference scheme for a singularly perturbed periodical boundary value problem