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has been cited by the following article:

• 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.