Variational iteration method for solving the wave equation subject to an integral conservation condition

Abstract

In this work, the well known variational iteration method is used for solving the onedimensional wave equation that combines classical and integral boundary conditions. This method is based on the use of Lagrange multipliers for identification of optimal values of parameters in a functional. Using this method, a rapid convergent sequence is produced which tends to the exact solution of the problem. We will change the main problem to a direct problem which is easy to handle the variational iteration method. Illustrative examples are included to demonstrate the validity and applicability of the presented method.