An algorithm for solving singular perturbation problems with mechanization

H. M. Habib; E. R. El-Zahar

doi:10.1016/j.amc.2006.09.132

An algorithm for solving singular perturbation problems with mechanization

H. M. Habib
, E. R. El-Zahar

Menoufia University

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

In this paper, by using the theories and methods of mathematical analysis and computer algebra, a reliable algorithm of finite difference method for solving singular perturbation problems was established, a new matlab procedure ehssp was implemented, too. Several linear and non-linear problems are presented to illustrate the implementation of the program.

Original language	English
Pages (from-to)	286-302
Number of pages	17
Journal	Applied Mathematics and Computation
Volume	188
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2006.09.132
State	Published - 1 May 2007
Externally published	Yes

Keywords

Algorithm
Finite difference method
matlab
Mechanization
Singular perturbation problems (SPP)

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10.1016/j.amc.2006.09.132

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title = "An algorithm for solving singular perturbation problems with mechanization",

abstract = "In this paper, by using the theories and methods of mathematical analysis and computer algebra, a reliable algorithm of finite difference method for solving singular perturbation problems was established, a new matlab procedure ehssp was implemented, too. Several linear and non-linear problems are presented to illustrate the implementation of the program.",

keywords = "Algorithm, Finite difference method, matlab, Mechanization, Singular perturbation problems (SPP)",

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year = "2007",

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AU - El-Zahar, E. R.

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AB - In this paper, by using the theories and methods of mathematical analysis and computer algebra, a reliable algorithm of finite difference method for solving singular perturbation problems was established, a new matlab procedure ehssp was implemented, too. Several linear and non-linear problems are presented to illustrate the implementation of the program.

KW - Algorithm

KW - Finite difference method

KW - matlab

KW - Mechanization

KW - Singular perturbation problems (SPP)

UR - https://www.scopus.com/pages/publications/34247876015

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DO - 10.1016/j.amc.2006.09.132

M3 - Article

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SN - 0096-3003

VL - 188

SP - 286

EP - 302

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 1

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An algorithm for solving singular perturbation problems with mechanization

Abstract

Keywords

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