Flow relaxation method in solving quasilinear parabolic equations

Autor:	Alexey I. Lobanov, V. A. Usenko
Jazyk:	ruština
Rok vydání:	2011
Předmět:	parabolic quasilinear equation red-black ordering difference scheme qasilinearization SOR Applied mathematics. Quantitative methods T57-57.97 Mathematics QA1-939
Zdroj:	Компьютерные исследования и моделирование, Vol 3, Iss 1, Pp 47-53 (2011)
Druh dokumentu:	article
ISSN:	2076-7633 2077-6853
DOI:	10.20537/2076-7633-2011-3-1-47-53
Popis:	This article proposes a numeric method of solution of quasilinear parabolic equations, based on the flux approximation, describes the implementation of the method on a rectangular grid and presents numerical results. Unlike methods used in common practice, this method uses an approximation of flows in non-dilated template. For each iteration of the Newton method it is possible to solve a linear problem using the method of upper relaxation (SOR). Compared with the methods of flux sweeping, the considered method has greater potential for use in modern parallel computing system.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/a1e496205e8747d5bf977ad24eb0e0e1 Zobrazit plný text záznamu View record in DOAJ