Abstract

In this paper, we use modified variational iteration method (MVIM) for solving generalized Boussinesq equation and Lie'nard equation. The obtained solutions of these equations using the traditional variational iteration method (VIM) give good approximations only in the neighborhood of the initial position. The main advantage of the MVIM is that it can enlarge the convergence region of iterative approximate solutions. Hence, the solutions obtained using the MVIM give good approximations for a larger interval, rather than a local vicinity of the initial position. Numerical results show that the method is simple and effective.

Key words: Modified variational iteration method, Boussinesq equation, Lie'nard equation.