Abstract

In this paper we present an efficient modification of the homotopy perturbation method. We apply the method to solve a class of singular initial value problems (IVPs) in the second-order ordinary differential equations (ODEs). Modified homotopy perturbation method (MHPM) yields solutions in convergent series forms with easily computable terms, and in some cases, yields exact solutions in one iteration. Comparisons with the exact solutions and the solutions obtained by standard HPM show the efficiency and accuracy of MHPM in solving singular problems.

Key words: Singular initial value problems, homotopy perturbation method, ordinary differential equations.