Abstract

In this paper, we use the modified variational iteration method (MVIM) for solving the system of nonlinear boundary value problems associated with obstacle problems. This modified variational method is an elegant coupling of variational iteration method and homotopy perturbation method. We give the examples of second-order, third-order and fourth-order system of nonlinear boundary value problems to illustrate the implementation and efficiency of the proposed MVIM. Results obtained in this paper may stimulate further research in this area.

Key words: Variational iteration method, homotopy perturbation method, system of nonlinear boundary value problems, correctional functional, Lagrange multiplier.