Abstract:
It is well known that a wide class of obstacle and unilateral problems can be studied in the
unified framework of variational inequalities. Using the penalty function method, the variational
inequalities are characterized by a system of boundary value problems in conjunction with the
known obstacle. We use the variational iteration method for solving the system of boundary
value problems associated with the obstacle problems. Several examples of second, third, fourth
and fifth-orders system of boundary value problems are given to illustrate the efficiency and
implementation of the variational iteration method. Comparison with the homotopy perturbation
technique demonstrates that the variational iteration technique performs better.
