Initial-value technique for a class of nonlinear singular perturbation problems
type: Item
instance of: scholarly article
title: Initial-value technique for a class of nonlinear singular perturbation problems
zbMATH Open document ID: 0594.34017
DOI: 10.1007/BF00938946
author: M. K. Kadalbajoo
author: Y. N. Reddy
published in: Journal of Optimization Theory and Applications
publication date: 1987-01-01T00:00:00Z
review text: An initial-value technique, which is simple to use and easy to implement, is presented for a class of nonlinear, singularly perturbed two-point boundary value problems with a boundary layer on the left end of the underlying interval. It is distinguished by the following fact: The original second-order problem is replaced by an asymptotically equivalent first-order problem and is solved as an initial-value problem. Numerical experience with several examples is described.
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34D15
Mathematics Subject Classification ID: 34E15
zbMATH DE Number: 3955438
zbMATH Keywords: initial-value technique
zbMATH Keywords: singularly perturbed two-point boundary value problems
zbMATH Keywords: boundary layer
zbMATH Keywords: examples
MaRDI profile type: Publication
cites work: Q3207312
cites work: Perturbation methods in applied mathematics
cites work: A boundary value technique for singular perturbation problems
cites work: The analytical and approximate solutions of epsilony''=yy'
cites work: Solution of \(\epsilon y''+yy'-y=0\) by a nonasymptotic method
description: scientific article; zbMATH DE number 3955438