Application of the Homotopy Perturbation Method for Differential Equations

Abstract

In this paper and in the first part of it, homotopy perturbation method is applied to solve second order differential equation with non-constant coefficients. The method yields solutions in convergent series forms with easily computable terms (the convergence of this series is demonstrated in this paper). The result shows that this method is very convenient and can be applied to large class of problems. As for the second part, we found a solution of Telegraph equation using the Laplace transform and Stehfest algorithm method. Next, we used method of Homotopy perturbation. Finally, we give some examples for illustration.