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Research Article Open access CC BY 4.0

Analytical Solutions of Strongly Non-linear Problems by the Iteration Perturbation Method

A. M. El-Naggar, G. M. Ismail

Journal of Scientific Research and Reports · pp. 285–294 · Published 27 Dec 2014

10.9734/JSRR/2015/14364

Abstract

This paper applies modified He's iteration perturbation method to study periodic solutions of strongly nonlinear oscillators. Some examples are given to illustrate the effectiveness and convenience of the method. The results are compared with the numerical solution and the comparison showed a proper accuracy of this method.

He's iteration perturbation method periodic solutions strongly non-linear oscillators.

Cited by 2

Periodic Solutions of the Duffing Harmonic Oscillator by He's Energy Balance Method

A. El-naggar, G. Ismail · 2016

An Analytical Technique for Solving Nonlinear Oscillators of the Motion of a Rigid Rod Rocking Bock and Tapered Beams

G. Ismail · 2016

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