A Recent Development of Computer Methods for Solving Singularly Perturbed Boundary Value Problems
Author(s) -
Manoj Kumar,
Parul
Publication year - 2011
Publication title -
international journal of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 20
eISSN - 1687-9651
pISSN - 1687-9643
DOI - 10.1155/2011/404276
Subject(s) - singular perturbation , mathematics , perturbation (astronomy) , boundary value problem , calculus (dental) , mathematical optimization , mathematical economics , mathematical analysis , medicine , orthodontics , physics , quantum mechanics
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
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