Numerical Solution of Allen – Cahn Equation by Adomian Decomposition Method

Autor:	Abdulghafor Al-Rozbayani
Jazyk:	Arabic<br />English
Rok vydání:	2014
Předmět:	allen – cahn (ac) equation adomian decomposition method (adm) dufort-frankel method (dfm) Mathematics QA1-939 Electronic computers. Computer science QA75.5-76.95
Zdroj:	Al-Rafidain Journal of Computer Sciences and Mathematics, Vol 11, Iss 1, Pp 69-79 (2014)
Druh dokumentu:	article
ISSN:	1815-4816 2311-7990
DOI:	10.33899/csmj.2014.163732
Popis:	In this paper, Adomian Decomposition Method with Adomian polynomials are applied to solve Allen - Cahn equation with the initial condition only, also DuFort-Frankel method is applied with the initial and boundary conditions. The numerical results that are obtained by the Adomian decomposition method have been compared with the exact solution of the equation shown that it is more efficient than the DuFort-Frankel method, that is illustrated through the tables and Figures.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/a52c23efb2f24601b104c34853757c2a Zobrazit plný text záznamu View record in DOAJ