High-order energy balance method to nonlinear oscillators
type: Item
instance of: scholarly article
title: High-order energy balance method to nonlinear oscillators
zbMATH Open document ID: 1251.65117
DOI: 10.1155/2012/518684
author: Seher Durmaz
author: Metin O. Kaya
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 65L99
Mathematics Subject Classification ID: 34C15
zbMATH DE Number: 6106236
zbMATH Keywords: high-order nonlinear oscillators
zbMATH Keywords: cubic-quintic Duffing oscillator
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/518684
OpenAlex ID: W2107518233
Wikidata QID: Q58906051
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description: scientific article; zbMATH DE number 6106236