Mickens Iteration Like Method for Approximate Solutions ofthe Inverse Cubic Truly Nonlinear Oscillator

摘要

A new technique of the Mickens iterative method has been presented to obtain approximate analytic solutions of the Inverse Cubic Truly Nonlinear Oscillator. In this paper, we have used Fourier series and utilized truncated terms in each steps of iteration. The method is illustrated by an example and the solutions obtained by this method agree nicely with the exact frequency. Also the solutions give more accurate result than other existing results and the method is convergent.