A modified approximate analytic solution of the quadratic nonlinear oscillator '' x+ x2 = 0'' has been obtained based on an Extended Iteration method. In this study the Fourier series and utilized indispensable truncated ...

A modified approximate analytic solution of the cubic nonlinear oscillator “ẍ + x3 = 0" has been obtained based on an iteration method. Here we have used the truncated Fourier series in each iterative step. The approximate ...

A new approach of the Mickens extended iterative method has been presented to obtain approximate analytic solutions for nonlinear oscillatory differential equation. To get modified approximate solution of the inverse ...