Application of new iterative method for solving linear and nonlinear initial boundary value problems with non local conditions

Abstract

In this paper, a new iterative method to solve linear and nonlinear initial boundary value problem (IBVP) with non local conditions was developed. The new method is an elegant combination of traditional variational iteration and the decomposition methods.  Several examples are presented to verify the accuracy and efficiency of this new method with the exact solution. This new iterative method developed may be suitable for teaching and
better understanding of some advanced undergraduate courses on analytical and classical mechanics.