Comparison of Energy Balance Period with Exact Period forArising Nonlinear Oscillator Equations. (He's energy balance period for nonlinear oscillators withandwithout discontinuities)

In this paper, He's energy balance method is applied to nonlinear oscillators. The new algorithm offers a promising approach by constructing a Hamiltonian for the nonlinear oscillator. We proved that the energy balance is very effective, convenient and does not require any linearization or smal...

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Bibliographic Details
Published in:Acta applicandae mathematicae 2009-11, Vol.108 (2), p.353-362
Main Authors: Ganji, D D, Ranjbar Malidarreh, N, Akbarzade, M
Format: Article
Language:English
Online Access:Get full text
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Summary:In this paper, He's energy balance method is applied to nonlinear oscillators. The new algorithm offers a promising approach by constructing a Hamiltonian for the nonlinear oscillator. We proved that the energy balance is very effective, convenient and does not require any linearization or small perturbation. In contradicts of the conventional methods, He's Energy Balance method(HEBM) using just one iteration, leads us to high accuracy of solutions. Energy Balance method is very effective, convenient and adequately accurate to both linear and nonlinear problems in physics and engineering.
ISSN:0167-8019
DOI:10.1007/s10440-008-9315-2