Analytical methods for solving nonlinear oscillator systems

In the present paper attempts have been done to solve Nonlinear Oscillator by using Akbari- Ganji’s Method (AGM) and Differential Transformation Method (DTM). This letter shows that the AGM and DTM can be effectively applied to such kinds of nonlinear oscillator Equation like this. First solved nonlinear oscillator equation with AGM and DTM methods, then solved the same equation with numerical solution. The validity of our solutions is verified by the numerical results and AGM and DTM methods together.

Keywords:

Akbari-Ganji’s Method (AGM) , Analytically solution , DTM method , Nonlinear oscillator