Application of Homotopy Perturbation Method and Parameter Expanding Method to Fractional Van der Pol Damped Nonlinear Oscillator

• 作者: Gamal M. Ismail Sayed Abdel-Khalek Taher A. Nofal
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: NONLINEAR Oscillators Homotopy Perturbation METHOD PARAMETER EXPANDING METHOD FRACTIONAL Van der Pol DAMPED NONLINEAR Oscillator
• 年，卷（期）: 2013,（11）
• 页码范围: 1490-1494
• 页数: 5页
• 分类号: O1

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.