On the application of Newton's and Chord methods to bifurcation problems

This paper is concerned with the applications of Newton's and chord methods in the computations of the bifurcation solutions in a neighborhood of a simple bifurcation point for prescribed values of the bifurcation parameter.

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Main Author: M. B. M. Elgindi
Format: Article
Language:English
Published: Wiley 1994-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171294000207
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author M. B. M. Elgindi
author_facet M. B. M. Elgindi
author_sort M. B. M. Elgindi
collection DOAJ
description This paper is concerned with the applications of Newton's and chord methods in the computations of the bifurcation solutions in a neighborhood of a simple bifurcation point for prescribed values of the bifurcation parameter.
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institution Kabale University
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language English
publishDate 1994-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-664d7a4a40254f33b11c1b24fc9a5a272025-02-03T06:01:13ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251994-01-0117114715410.1155/S0161171294000207On the application of Newton's and Chord methods to bifurcation problemsM. B. M. Elgindi0Department of Mathematics, University of Wisconsin - Eau Claire, Eau Claire 54702-4004, WI, USAThis paper is concerned with the applications of Newton's and chord methods in the computations of the bifurcation solutions in a neighborhood of a simple bifurcation point for prescribed values of the bifurcation parameter.http://dx.doi.org/10.1155/S0161171294000207simple bifurcation point; bifurcation from the trivial solutionNewton's and chord methods.
spellingShingle M. B. M. Elgindi
On the application of Newton's and Chord methods to bifurcation problems
International Journal of Mathematics and Mathematical Sciences
simple bifurcation point; bifurcation from the trivial solution
Newton's and chord methods.
title On the application of Newton's and Chord methods to bifurcation problems
title_full On the application of Newton's and Chord methods to bifurcation problems
title_fullStr On the application of Newton's and Chord methods to bifurcation problems
title_full_unstemmed On the application of Newton's and Chord methods to bifurcation problems
title_short On the application of Newton's and Chord methods to bifurcation problems
title_sort on the application of newton s and chord methods to bifurcation problems
topic simple bifurcation point; bifurcation from the trivial solution
Newton's and chord methods.
url http://dx.doi.org/10.1155/S0161171294000207
work_keys_str_mv AT mbmelgindi ontheapplicationofnewtonsandchordmethodstobifurcationproblems