Application of Homotopy Perturbation Method and Parameter Expanding Method to Fractional Van der Pol Damped Nonlinear Oscillator
Application of Homotopy Perturbation Method and Parameter Expanding Method to Fractional Van der Pol Damped Nonlinear Oscillator作者机构：Department of Mathematics Faculty of Science Sohag University Sohag Egypt Department of Mathematics Faculty of Science Taif University Taif KSA
出 版 物：《Journal of Modern Physics》 (现代物理（英文）)
年 卷 期：2013年第4卷第11期
页 面：1490-1494页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Nonlinear Oscillators Homotopy Perturbation Method Parameter Expanding Method Fractional Van der Pol Damped Nonlinear Oscillator
摘 要：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.
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