On the numerical solution of perturbed bifurcation problems

Autor:	M. B. M. Elgindi, R. W. Langer
Jazyk:	angličtina
Rok vydání:	1995
Předmět:	perturbed bifurcation singular perturbation bifurcation from the trivial solution Newton's and chord methods. Mathematics QA1-939
Zdroj:	International Journal of Mathematics and Mathematical Sciences, Vol 18, Iss 3, Pp 561-570 (1995)
Druh dokumentu:	article
ISSN:	0161-1712 1687-0425 01611712
DOI:	10.1155/S0161171295000718
Popis:	Some numerical schemes, based upon Newton's and chord methods, for the computations of the perturbed bifurcation points as well as the solution curves through them, are presented. The initial guesses for Newton's and chord methods are obtained using the local analysis techniques and proved to fall into the neighborhoods of contraction for these methods. In applications the perturbation parameter represents a physical quantity and it is desirable to use it to parameterize the solution curves near the perturbed bifurcation point. In this regard, it is shown that, for certain classes of the perturbed bifurcation problems, Newton's and chord methods can be used to follow the solution curves in a neighborhood of the perturbed bifurcation point while the perturbation parameter is kept fixed.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/a071409b19ef49598a6497481558fc72 Zobrazit plný text záznamu Plný text View record in DOAJ