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Application of Homotopy Perturbation Method and Parameter Expanding Method to Fractional Van der Pol Damped Nonlinear Oscillator
Department of Mathematics, Faculty of Science, Taif University, Taif, KSA
Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt
Department of Mathematics, Faculty of Science, Taif University, Taif, KSA
- 1 Department of Mathematics, Faculty of Science, Taif University, Taif, KSA
- 2 Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt
- 3 Department of Mathematics, Faculty of Science, Taif University, Taif, KSA
Journal of Modern Physics·Volume 04 (2013)·Pages 1490–1494·Published 12 November 2013·DOI10.4236/jmp.2013.411179
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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.
KeywordsNonlinear OscillatorsHomotopy Perturbation MethodParameter Expanding MethodFractional Van der Pol Damped Nonlinear Oscillator
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