جمال محمد إسماعيل حسان

استاذ مساعد - استاذ مساعد بقسم الرياضيات - كلية العلوم - جامعة سوهاج

كلية العلوم

العنوان: قسم الرياضيات - كلية العلوم - جامعة سوهاج



المنشورات و المؤلفات التي تحتوي علي الكلمة المفتاحية: Homotopy Perturbation Method

A Modified Energy Balance Method to Obtain Higher-order Approximations to the Oscillators with Cubic and Harmonic Restoring Force
This article analyzes a strongly nonlinear oscillator with cubic and harmonic restoring force and proposes an efficient analytical technique based on the modified energy balance method (MEBM). The proposed method incorporates higher-order approximations. After applying the proposed MEBM, a set of complicated higher-order nonlinear algebraic equations are obtained. Higher-order nonlinear algebraic equations are cumbersome to investigate especially in the case ... إقراء المزيد

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

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