A Comparative Study of He's Homotopy Perturbation Method for Determining Frequency-amplitude Relation of a Nonlinear Oscillator with Discontinuities

摘要

Comparison between two distinct adaptations of He's homotopy perturbation method (HPM) is made in this paper for determining frequency-amplitude relation of a nonlinear oscillatoi with discontinuities. The results obtained verify that the construction of the homotopy is problem dependent and affects the accuracy of the problem in consideration.