ahmedabudief

Dr. Ahmed Mohamed Abu-Dief

Professor - Professor of Physical and Inorganic Chemistry

Faculty of science

Address: Behind hospital of Sohag University - Ali Ebn Abi Taleb Street

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Publications Which contain the keyword: Strongly nonlinear oscillator

A Modified Energy Balance Method to Obtain Higher-order Approximations to the Oscillators with Cubic and Harmonic Restoring Force

2019-10-21 12:49:50 Keywords Homotopy Perturbation Method, Iterative procedure, energy balance method, Nonlinear algebraic equations, Strongly nonlinear oscillator, Analytical technique,
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 ... Read more

An analytical coupled homotopy-variational approach for solving strongly nonlinear differential equation

2018-10-25 07:56:57 Keywords Strongly nonlinear oscillator, analytical solution,
An analytical coupled homotopy-variational approach for solving strongly nonlinear differential equation
In the present paper, a novel technique combining the homotopy concept with variational formula has been presented to find accurate analytical solution for nonlinear differential equation with inertia and static non-linearity. The obtained results are compared with other analytical and exact solutions to confirm the excellent accuracy and correctness of the approximate analytical technique. The results of the present paper ... Read more

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