Second-order accurate difference method for the singularly perturbed problem of fourth-order ordinary differential equations

DOI10.1007/BF02016376zbMath0753.65070MaRDI QIDQ1191572

Guoying Wang, Minglun Chen

Publication date: 27 September 1992

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

zbMATH Keywords

numerical examplesingular perturbationsfourth order equationPetrov-Galerkin finite element methoduniform second-order difference scheme

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) 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)

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A class of quasi-variable mesh methods based on off-step discretization for the solution of non-linear fourth order ordinary differential equations with Dirichlet and Neumann boundary conditions ⋮ Fourth-order accurate difference method for the singular perturbation problem ⋮ On the stability of the $L^2$ projection in $H^1(\Omega)$

Cites Work

• 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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