International Journal of Differential Equations

A Recent Development of Computer Methods for Solving Singularly Perturbed Boundary Value Problems

Manoj Kumar and Parul

Full-text: Open access

Abstract

This 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. The work done in this area during the periods 1984–2000 and 2000–2005 has already been surveyed in 2002 and 2007 but our main objective is to produce a collection of important research articles of physical significance. In this paper, the crux of research articles published by numerous researchers during 2006–2010 in referred journals has been presented, and this leads to conclusions and recommendations about what methods to use on singular perturbation problems.

Article information

Source
Int. J. Differ. Equ., Volume 2011 (2011), Article ID 404276, 32 pages.

Dates
Received: 5 May 2011
Revised: 12 July 2011
Accepted: 14 July 2011
First available in Project Euclid: 25 January 2017

Permanent link to this document
https://projecteuclid.org/euclid.ijde/1485313260

Digital Object Identifier
doi:10.1155/2011/404276

Mathematical Reviews number (MathSciNet)
MR2854950

Zentralblatt MATH identifier
1242.34002

Citation

Kumar, Manoj; Parul. A Recent Development of Computer Methods for Solving Singularly Perturbed Boundary Value Problems. Int. J. Differ. Equ. 2011 (2011), Article ID 404276, 32 pages. doi:10.1155/2011/404276. https://projecteuclid.org/euclid.ijde/1485313260


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