Numerical analysis of boundary-value problems for singularly-perturbed differential-difference equations with small shifts of mixed type
type: Item
instance of: scholarly article
title: Numerical analysis of boundary-value problems for singularly-perturbed differential-difference equations with small shifts of mixed type
zbMATH Open document ID: 1023.65079
DOI: 10.1023/A:1019681130824
author: M. K. Kadalbajoo
author: Kapil K. Sharma
published in: Journal of Optimization Theory and Applications
publication date: 2003-06-09T00:00:00Z
review text: The authors consider the boundary-value problem for a singularly-perturbed differential-difference equation of a mixed type, i.e. containing both terms having a positive shift and terms having a negative shift. The shifts are small, but they need not be the same. An interesting method is presented and is also analyzed for convergence. The reported numerical experiments show that the method is efficient and easy to implement, provided the shifts are of small order.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34K28
zbMATH DE Number: 1924987
zbMATH Keywords: singular perturbation
zbMATH Keywords: differential-difference equations
zbMATH Keywords: boundary layers
zbMATH Keywords: numerical examples
reviewed by: Raffaella Pavani
MaRDI profile type: Publication
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cites work: On the numerical integration of a class of singular perturbation problems
full work available at URL: a:1019681130824
OpenAlex ID: W1528254197
description: scientific article; zbMATH DE number 1924987