TITLE:
Application of Homotopy Perturbation Method and Parameter Expanding Method to Fractional Van der Pol Damped Nonlinear Oscillator
AUTHORS:
Taher A. Nofal, Gamal M. Ismail, Sayed Abdel-Khalek
KEYWORDS:
Nonlinear Oscillators; Homotopy Perturbation Method; Parameter Expanding Method; Fractional Van der Pol Damped Nonlinear Oscillator
JOURNAL NAME:
Journal of Modern Physics,
Vol.4 No.11,
November
22,
2013
ABSTRACT: 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.