Periodic Solutions of the Duffing Harmonic Oscillator by He s Energy Balance Method

This paper presents He´s Energy Balance Method (EBM) for solving nonlinear differential equations. Two strong nonlinear cases have been studied analytically. Analytical results of the EBM are compared with the solutions obtained by using He´s Frequency Amplitude Formulation (FAF) and numerical solutions using Runge-Kutta method. The results show the presented method is potentially to solve high nonlinear oscillator equations

Keywords:

Energy balance method , Frequency amplitude formulation , Duffing harmonic oscillator , Periodic solutions