New Homotopy Perturbation Method To Solve Non-linear Problems

Abstract

In this article, we introduce a new homotopy perturbation method (NHPM) for solving non-linear problems, such that it can be converted a non-linear differential equations to some simple linear differential. We will solve linear differential equation by using analytic method that it is better than the variational iteration method and to find parameter \(\alpha\), we use projection method, which is easier and decrease computations in comparison with similar works. Also in some of the references perturbation method are depend on small parameter but in our proposed method it is not depend on small parameter, finally we will solve some example for illustrating validity and applicability of the proposed method.