On the Application of Newton S and Chord Methods to Bifurcation Problems

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1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)147-154
Number of pages8
JournalInternational Journal of Mathematics and Mathematical Sciences
Volume17
Issue number1
DOIs
Publication statusPublished - 1994
Externally publishedYes

Fingerprint

Chord or secant line
Bifurcation
Bifurcation Point

Keywords

  • bifurcation from the trivial solution
  • Newton’s and chord methods
  • Simple bifurcation point

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

Cite this

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title = "On the Application of Newton S and Chord Methods to Bifurcation Problems",
abstract = "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.",
keywords = "bifurcation from the trivial solution, Newton’s and chord methods, Simple bifurcation point",
author = "Mohamed Elgindi",
year = "1994",
doi = "10.1155/S0161171294000207",
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pages = "147--154",
journal = "International Journal of Mathematics and Mathematical Sciences",
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