A numerical method for boundary value problems for singularly perturbed fourth-order ordinary differential equations
type: Item
instance of: scholarly article
title: A numerical method for boundary value problems for singularly perturbed fourth-order ordinary differential equations
zbMATH Open document ID: 1025.65044
DOI: 10.1016/S0096-3003(01)00040-6
author: Yanyan Li
published in: Applied Mathematics and Computation
publication date: 2003-01-28T00:00:00Z
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B05
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 65Y05
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 65L12
zbMATH DE Number: 1861092
zbMATH Keywords: numerical examples
zbMATH Keywords: singular perturbation
zbMATH Keywords: self-adjoint BVP
zbMATH Keywords: asymptotic expansion
zbMATH Keywords: boundary layer
zbMATH Keywords: two-point boundary value problems
zbMATH Keywords: exponentially fitted difference scheme
zbMATH Keywords: fourth-order ordinary differential equations
zbMATH Keywords: linear equations
zbMATH Keywords: nonlinear equations
zbMATH Keywords: Newton's method
zbMATH Keywords: quasi-linearization
zbMATH Keywords: parallel computation
MaRDI profile type: Publication
cites work: Asymptotic Characterization of Solutions of a Boundary Value Problem Arising in Fluid Mechanics
cites work: Q3909948
cites work: Uniform and optimal schemes for stiff initial-value problems
cites work: Graded-Mesh Difference Schemes for Singularly Perturbed Two-Point Boundary Value Problems
cites work: Differential Inequalities of Higher Order and the Asymptotic Solution of Nonlinear Boundary Value Problems
cites work: The Asymptotic Solution of a Class of Third-Order Boundary Value Problems Arising in the Theory of Thin Film Flows
cites work: Improvement of numerical solution of boundary layer problems by incorpotation of asymptotic approximations
cites work: A computational method for solving singular perturbation problems
cites work: A numerical method for singular perturbation problems arising in chemical reactor theory
cites work: Numerical treatment of singularly perturbed two point boundary value problems
cites work: Approximate method for the numerical solution of singular perturbation problems
cites work: Numerical solution of singular perturbation problems via deviating arguments
cites work: Singularly perturbed higher order boundary value problems
cites work: Q4379541
cites work: Q3895818
cites work: Die gleichmäßige Stabilität singulär gestörter diskreter und kontinuierlicher Randwertprobleme
cites work: A computational method for solving singularly perturbed turning point problems exhibiting twin boundary layers
cites work: Q4774844
cites work: Singular perturbation methods for ordinary differential equations
cites work: Q5533735
cites work: Singular perturbation problems for systems of partial differential equations of elliptic type
cites work: Q3903339
cites work: A boundary value technique for singular perturbation problems
cites work: Further examples of the boundary value technique in singular perturbation problems
cites work: Q4005968
cites work: Q4871736
cites work: Locking in finite-element approximations to long thin extensible beams
cites work: Finite-element methods for singularly perturbed high-order elliptic two-point boundary value problems. I: reaction-diffusion-type problems
cites work: Singular perturbations of boundary value problems for a class of third order nonlinear ordinary differential equations
description: scientific article; zbMATH DE number 1861092