A Recent Development of Computer Methods for Solving Singularly Perturbed Boundary Value Problems
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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2011/404276 |
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| _version_ | 1832547437893386240 |
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| author | Manoj Kumar Parul |
| author_facet | Manoj Kumar Parul |
| author_sort | Manoj Kumar |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-6a938b541a4c401890a0ed2b7b689588 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-6a938b541a4c401890a0ed2b7b6895882025-02-03T06:44:49ZengWileyInternational Journal of Differential Equations1687-96431687-96512011-01-01201110.1155/2011/404276404276A Recent Development of Computer Methods for Solving Singularly Perturbed Boundary Value ProblemsManoj Kumar0Parul1Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad 211004, IndiaDepartment of Mathematics, Motilal Nehru National Institute of Technology, Allahabad 211004, IndiaThis 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.http://dx.doi.org/10.1155/2011/404276 |
| spellingShingle | Manoj Kumar Parul A Recent Development of Computer Methods for Solving Singularly Perturbed Boundary Value Problems International Journal of Differential Equations |
| title | A Recent Development of Computer Methods for Solving Singularly Perturbed Boundary Value Problems |
| title_full | A Recent Development of Computer Methods for Solving Singularly Perturbed Boundary Value Problems |
| title_fullStr | A Recent Development of Computer Methods for Solving Singularly Perturbed Boundary Value Problems |
| title_full_unstemmed | A Recent Development of Computer Methods for Solving Singularly Perturbed Boundary Value Problems |
| title_short | A Recent Development of Computer Methods for Solving Singularly Perturbed Boundary Value Problems |
| title_sort | recent development of computer methods for solving singularly perturbed boundary value problems |
| url | http://dx.doi.org/10.1155/2011/404276 |
| work_keys_str_mv | AT manojkumar arecentdevelopmentofcomputermethodsforsolvingsingularlyperturbedboundaryvalueproblems AT parul arecentdevelopmentofcomputermethodsforsolvingsingularlyperturbedboundaryvalueproblems AT manojkumar recentdevelopmentofcomputermethodsforsolvingsingularlyperturbedboundaryvalueproblems AT parul recentdevelopmentofcomputermethodsforsolvingsingularlyperturbedboundaryvalueproblems |