Application of the Homotopy Perturbation Method to Nonlinear Heat Conduction and Fractional Van der Pol Damped Nonlinear Oscillator

• 作者: T. A. Nofel
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: NONLINEAR Oscillators HOMOTOPY Perturbation Method FRACTIONAL Van der POL DAMPED NONLINEAR Oscillator Heat Transfer
• 年，卷（期）: 2014,（6）
• 页码范围: 852-861
• 页数: 10页
• 分类号: O1

摘要

In this paper, a powerful analytical method, called He’s homotopy perturbation method is applied to obtaining the approximate periodic solutions for some nonlinear differential equations in mathematical physics via Van der Pol damped non-linear oscillators and heat transfer. Illustrative examples reveal that this method is very effective and convenient for solving nonlinear differential equations. Comparison of the obtained results with those of the exact solution, reveals that homotopy perturbation method leads to accurate solutions.