A spline method for second-order singularly perturbed boundary-value problems
type: Item
instance of: scholarly article
title: A spline method for second-order singularly perturbed boundary-value problems
zbMATH Open document ID: 1034.65059
DOI: 10.1016/S0377-0427(02)00479-X
author: Yanyan Li
published in: Journal of Computational and Applied Mathematics
publication date: 2003-02-23T00:00:00Z
review text: The authors derive a uniformly convergent mesh difference scheme using cubic spline in compression for the solution of a second-order singularly perturbed boundary value problem. The method is shown to have second- and fourth-order convergence depending on the choice of the parameters involved in the method. The last section of the paper contains numerical illustrations and, in order to demonstrate the efficiency of the method, the results are compared with the method developed by \textit{M. K. Kadalbajoo} and \textit{R. K. Bawa} [J. Optimization Theory Appl. 90, 405--416 (1996; Zbl 0951.65070)].
reviewed by: Vicenţiu D. Rădulescu
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 34B05
zbMATH DE Number: 1872866
zbMATH Keywords: cubic spline in compression
zbMATH Keywords: monotone matrix
zbMATH Keywords: irreducible matrix
zbMATH Keywords: singular perturbation
zbMATH Keywords: numerical examples
zbMATH Keywords: comparison of methods
zbMATH Keywords: boundary value problem
zbMATH Keywords: convergence
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1872866