Solution of the nonlinear singular oscillator has been obtained based on an iteration procedure. Here we have used a simple technique and taking a truncated Fourier series to determine the approximate analytic solution of the oscillator. The percentage of error between exact freq...
Open access
Research Article10.9734/BJMCS/2016/23263
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 illustrat...
Open access
Research Article10.9734/BJMCS/2016/22823
A modified approximate analytic solution of the quadratic nonlinear oscillator “ ẍ + x2 sgn(x) =0 ” has been obtained based on an iteration procedure. Here we have used the truncated Fourier series in each iterative step. The approximate frequencies obtained by our technique show...
Open access
Research Article10.9734/BJMCS/2016/22049
A new approach of the Mickens’ extended iteration method has been presented to obtain approximate analytic solutions of some nonlinear jerk equations. There has been shown that the partial derivatives of integral functions are valid for modified extended iteration method in each...
Open access
Research Article10.9734/BJMCS/2014/11700