International Mathematical Forum, 5, 2010, no. 64, 3185 - 3191 Variational Iteration Method for Linear and Nonlinear Systems of Integro-Differential Equations Jafar Biazar Department of Mathematics, Faculty of science, Guilan University P.O. Box 1914, P.C. 41938, Rasht, Iran biazar@guilan.ac.ir, jafar.biazar@gmail.com Mehdi Gholami Porshokouhi 1 Department of Mathematics, Faculty of science, Islamic Azad University, Takestan Branch, Iran Email: m gholami p@yahoo.com Hamideh Ebrahimi Department of Mathematics, Faculty of science, Guilan University P.O. Box 1914, P.C. 41938, Rasht, Iran Abstract In this article, He’s variational iteration method is employed to solve linear and nonlinear system of integro-differential equations. Some ex- amples are presented to show the ability of the method for linear and nonlinear systems of integro-differential equations. The results reveal that the method is very effective and convenient. Mathematics Subject Classification: 47G99 Keywords: variational iteration method, integro-differential equations 1 Introduction A system of integro-differential equations be presented as the following u (i) 1 (x)= H 1  x, u 2 (x) , ..., u (i) 2 (x) ,u 3 (x) , ..., u (i) 3 (x) , ..., u m (x) , ..., u (i) m (x)  1 Corresponding author