Fourth-order accurate difference method for the singular perturbation problem

DOI10.1007/BF00189290zbMath0912.65071OpenAlexW2314806733MaRDI QIDQ1387579

Chuanhan Liu

Publication date: 18 May 1999

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00189290

zbMATH Keywords

algorithmsingular perturbationuniform convergencenumerical examplesmesh generationdifference methodordinary differential system

Mathematics Subject Classification ID

Singular perturbations of ordinary differential equations (34D15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items

Asymptotic Analysis and a Uniformly Convergent Numerical Method for Singular Perturbation Problems

Cites Work

• Unnamed Item
• A uniform numerical method for quasilinear singular perturbation problems without turning points
• Second-order accurate difference method for the singularly perturbed problem of fourth-order ordinary differential equations
• A Uniformly Accurate Finite Element Method for a Singular Perturbation Problem in Conservative Form
• An Analysis of a Superconvergence Result for a Singularly Perturbed Boundary Value Problem

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