Haar wavelet operational methods for the numerical solutions of fractional order nonlinear oscillatory Van der Pol system

In this paper, an efficient numerical method for the solution of nonlinear damped Van der Pol equation based on the Haar wavelets approach is proposed. The proposed scheme can be used for solving one of the widely studied and challenging equation in nonlinear dynamics like the damped Van der Pol equation. We have applied a numerical procedure involving haar series for the highest order of derivative. Moreover the numerical result shows that the proposed mechanism is quite reasonable when compare to exact solution.