期刊名称：Journal of Theoretical and Applied Information Technology
印刷版ISSN：1992-8645
电子版ISSN：1817-3195
出版年度：2016
卷号：88
期号：2
出版社：Journal of Theoretical and Applied
摘要：In this paper, two objectives will be achieved, the first one is to state and prove the existence of a unique solution of nonlinear partial integro-differential equations by using Banach fixed point theorem. The second objective is to apply He�s variational iteration method for solving nonlinear partial integro-differential equations. This method is a very powerful method for solving a large amount of problems. It provides a sequence of iterated solutions which is converge to the exact solution of the problem. Also, in this work the derivation of the iteration formula using He�s method have been presented and then prove the converge of the obtained sequence of iterated approximate solutions to the exact solution of the partial integro-differential equation. Finally, illustrative examples were presented to show the efficient of the new method and the proposed technique was programmed using Mathcade 15.0.
