Abstract

Variational iteration method is widely used for solving nonlinear, integro-differential equations. Through careful investigation of the iteration formulas of the earlier variational iteration algorithm (VIM), we find unnecessary repeated calculations in each iteration. To overcome this shortcoming, the variational iteration algorithm-II (He et al., 2010) will be used in this paper to solve the system of non linear integro-differential equations. Beside this, the comparison of the exact solution with approximated solution by VIM-II is illustrated by the graphs. Several examples are given to verify the reliability and efficiency of the method.

Key words: Variational iteration algorithm-II (VIM), system of nonlinear integro-differential equations.