#### Authors:

B. M. Ikramul Haque,Md. Iqbal Hossain,#### DOI NO:

https://doi.org/10.26782/jmcms.2021.02.00004#### Keywords:

Jerk equation,Nonlinear oscillator,Extended iteration technique,Truncated Fourier series,#### Abstract

*The technique to evade jerk from a dynamical system is to reduce the rate of acceleration or deceleration. It is an important issue for our real life. In motion control systems the term “jerk” is the main topic. The jerk equation containing velocity times acceleration-squared describes the characteristics of chaotic behaviour in many nonlinear phenomena, cosmological analysis, kinematical physics, pendulum analysis etc. Thus, the mentioned equation is important in its own right. An extended iteration method, based on Haque’s approach has been applied to find the analytical solution of the oscillator. The recently various method has been developed for finding analytical solutions of the nonlinear equation but; modified extended iteration method based on Haque’s approach is faster and straight forward than others.*

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