A recent survey on computational techniques for solving singularly perturbed boundary value problems

This survey paper contains a surprisingly large amount of material and indeed can serve as an introduction to some of ideas and methods of singular perturbation theory. In continuation of a survey performed earlier, this paper limits its coverage to some standard numerical methods developed by numer...

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Bibliographic Details
Published in:International journal of computer mathematics Vol. 84; no. 10; pp. 1439 - 1463
Main Authors: Kumar, Manoj, Singh, Pitam, Mishra, Hradyesh Kumar
Format: Journal Article
Language:English
Published: Taylor & Francis 01.10.2007
Subjects:
Boundary value problems
Computational methods
Reaction-diffusion
Singular perturbations
Uniform convergence
ISSN:0020-7160, 1029-0265
Online Access:Get full text
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Summary:This survey paper contains a surprisingly large amount of material and indeed can serve as an introduction to some of ideas and methods of singular perturbation theory. In continuation of a survey performed earlier, this paper limits its coverage to some standard numerical methods developed by numerous researchers between 2000 and 2005. A summary of the results of some recent methods is presented and this leads to conclusions and recommendations regarding methods to use on singular perturbation problems. Because of space constraints, we considered one-dimensional singularly perturbed boundary value problems only.
Bibliography:ObjectType-Article-2
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ISSN:0020-7160
1029-0265
DOI:10.1080/00207160701295712