Author(s)

Taher A. Nofal, Gamal M. Ismail, Sayed Abdel-Khalek

Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt.
Department of Mathematics, Faculty of Science, Taif University, Taif, KSA.

In this study, homotopy perturbation method and parameter expanding method are applied to the motion equations of two nonlinear oscillators. Our results show that both the (HPM) and (PEM) yield the same results for the nonlinear problems. In comparison with the exact solution, the results show that these methods are very convenient for solving nonlinear equations and also can be used for strong nonlinear oscillators.

Nonlinear Oscillators; Homotopy Perturbation Method; Parameter Expanding Method; Fractional Van der Pol Damped Nonlinear Oscillator

T. Nofal, G. Ismail and S. Abdel-Khalek, "Application of Homotopy Perturbation Method and Parameter Expanding Method to Fractional Van der Pol Damped Nonlinear Oscillator," Journal of Modern Physics, Vol. 4 No. 11, 2013, pp. 1490-1494. doi: 10.4236/jmp.2013.411179.