Solution of nonlinear oscillator differential equations using the HPM and PPM

Abstract

In this paper, homotopy perturbation method (HPM) and parameterized perturbation method (PPM) are used to solve nonlinear oscillator differential equations. A comparative study between the HPM and PPM is presented in this work. The results reveal that the HPM and PPM are very effective, convenient and quite accurate to systems and nonlinear partial differential equation. These methods can be easily extended to other strongly nonlinear oscillations and can be found widely applicable in engineering and science.