WASET
	%0 Journal Article
	%A Shishen Xie
	%D 2010
	%J International Journal of Mathematical and Computational Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 41, 2010
	%T Numerical Algorithms for Solving a Type of Nonlinear Integro-Differential Equations
	%U https://publications.waset.org/pdf/1281
	%V 41
	%X In this article two algorithms, one based on variation iteration method and the other on Adomian's decomposition method, are developed to find the numerical solution of an initial value problem involving the non linear integro differantial equation where R is a nonlinear operator that contains partial derivatives with respect to x. Special cases of the integro-differential equation are solved using the algorithms. The numerical solutions are compared with analytical solutions. The results show that these two methods are efficient and accurate with only two or three iterations

	%P 593 - 596