Comparison of Energy Balance Period with Exact Period for Arising Nonlinear Oscillator Equations: He’s energy balance period for nonlinear oscillators with and without 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 small per...

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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
Subjects:
Accuracy
Applications of Mathematics
Approximation
Calculus of Variations and Optimal Control
Optimization
Computational Mathematics and Numerical Analysis
Energy
Harmonic analysis
Mathematics
Mathematics and Statistics
Methods
Oscillators
Partial Differential Equations
Probability Theory and Stochastic Processes
Studies
Citations: Items that this one cites
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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
1572-9036
DOI:10.1007/s10440-008-9315-2