High‐Order Energy Balance Method to Nonlinear Oscillators

Seher Durmaz and Metin Orhan Kaya

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: Energy balance method (EBM) is extended for high‐order nonlinear oscillators. To illustrate the effectiveness of the method, a cubic‐quintic Duffing oscillator was chosen. The maximum relative errors of the frequencies of the oscillator read 1.25% and 0.6% for the first‐ and second‐order approximation, respectively. The third‐order approximation has an accuracy as high as 0.008%. Excellent agreement of the approximated frequencies and periodic solutions with the exact ones is demonstrated for several values of parameters of the oscillator.

Date: 2012
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https://doi.org/10.1155/2012/518684

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:518684

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