Approximate solution for the Duffing-harmonic oscillator by the enhanced cubication method
type: Item
instance of: scholarly article
title: Approximate solution for the Duffing-harmonic oscillator by the enhanced cubication method
zbMATH Open document ID: 1264.34067
DOI: 10.1155/2012/618750
author: Alex Elías-Zúñiga
author: Oscar Martínez-Romero
author: René K. Córdoba-Díaz
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: The cubication and the equivalent nonlinearization methods are used to replace the original Duffing-harmonic oscillator by an approximate Duffing equation in which the coefficients for the linear and cubic terms depend on the initial oscillation amplitude. It is shown that this procedure leads to angular frequency values with a maximum relative error of 0.055\%. This value is 21\% lower than the relative errors attained by previously developed approximate solutions.
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 34A45
zbMATH DE Number: 6173429
Wikidata QID: Q58912317
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/618750
OpenAlex ID: W1970752761
cites work: Q5682682
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description: scientific article; zbMATH DE number 6173429