Variational Iteration Method for Solving Nonlinear Differential-difference Equations (NDDEs)

In this paper, the variational iteration method is applied to solve nonlinear differential-difference equations, such as the discretized nonlinear Schrodinger equation and the Toda lattice equation, which they need only one- iteration for each and the obtained solutions are of remarkable accuracy. Comparisons are made between the results of the proposed method and exact solutions. The results show that the variational iteration method is an attractive method in solving the NDDEs.