A New Modification of Adomian Decomposition Method for Volterra Integral Equations of the Second Kind

Autor:	Lie-jun Xie
Jazyk:	angličtina
Rok vydání:	2013
Předmět:	Mathematics QA1-939
Zdroj:	Journal of Applied Mathematics, Vol 2013 (2013)
Druh dokumentu:	article
ISSN:	1110-757X 1687-0042
DOI:	10.1155/2013/795015
Popis:	We propose a new modification of the Adomian decomposition method for Volterra integral equations of the second kind. By the Taylor expansion of the components apart from the zeroth term of the Adomian series solution, this new technology overcomes the problems arising from the previous decomposition method. The validity and applicability of the new technique are illustrated through several linear and nonlinear equations by comparing with the standard decomposition method and the modified decomposition method. The results obtained indicate that the new modification is effective and promising.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/e27374134503457fbd55c5ee4f7226dd Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF