Numerical Solution of Volterra and Fredholm Integral Equations of the Second Kind by Using Variational Iteration Method

Faculty	Science	Year:	2012
Type of Publication:	Article	Pages:	5452-5456
Authors:	Saleh, M. H, Amer, S. M, Ahmed, M. H
Journal:	LIFE SCIENCE JOURNAL-ACTA ZHENGZHOU UNIVERSITY OVERSEAS EDITION MARSLAND PRESS	Volume:	9
Research Area:	Life Sciences \& Biomedicine - Other Topics	ISSN	ISI:000316686000184
Keywords :	Variational iteration method, Volterra and Fredholm integral equations of the second kind
Abstract:	In the present article, we apply variational iteration method to obtain the numerical solution of Volterra and Fredholm integral equations of the second kind. The method constructs a convergent sequence of functions, which approximates the exact solution with little iteration. Application of this method in finding the approximate solution of some examples confirms its validity. We use the symbolic algebra program, Maple, 15, to prove our results. {[}M. H. Saleh, S. M. Amer and M. H. Ahmed. Numerical Solution of Volterra and Fredholm Integral Equations of the Second Kind by Using Variational Iteration Method. Life Sci J 2012;9(4):5452-5456] (ISSN:1097-8135). http://www.lifesciencesite.com. 807
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