Third-order variable-mesh cubic spline methods for singularly-perturbed boundary-value problems
type: Item
instance of: scholarly article
title: Third-order variable-mesh cubic spline methods for singularly-perturbed boundary-value problems
zbMATH Open document ID: 0790.65071
DOI: 10.1016/0096-3003(93)90084-R
author: M. K. Kadalbajoo
author: Rajesh K. Bawa
published in: Applied Mathematics and Computation
publication date: 1994-06-27T00:00:00Z
review text: Third-order variable-mesh methods based on cubic-spline approximation for nonlinear singularly perturbed boundary value problems of the form \(\varepsilon y''= f(x,y)\), \(y(a) = \alpha\), \(y(b) = \beta\) are presented. The convergence analysis is given and the method is shown to have third- order convergence. Several test examples are solved to demonstrate the efficiency of the method.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L50
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 35E15
zbMATH DE Number: 519672
zbMATH Keywords: singular perturbation
zbMATH Keywords: third-order variable-mesh methods
zbMATH Keywords: cubic-spline
zbMATH Keywords: nonlinear singularly perturbed boundary value problems
zbMATH Keywords: convergence
zbMATH Keywords: test examples
reviewed by: J. D. P. Donnelly
MaRDI profile type: Publication
cites work: Q5540873
cites work: Q3909948
cites work: Some singularly perturbated superquadratic boundary value problems whose solutions exhibit boundary and shock layer behavior
cites work: Variable mesh methods for the numerical solution of two-point singular perturbation problems
cites work: On Non‐Linear Ordinary Differential Equations of Boundary Layer Type
full work available at URL: 0096-3003(93)90084-r
OpenAlex ID: W2009095278
description: scientific article; zbMATH DE number 519672