Approximate Solution for the Duffing-Harmonic Oscillator by the Enhanced Cubication Method
Joint Authors
Martínez-Romero, Oscar
Córdoba-Díaz, René K.
Elias-Zuniga, Alex
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-24
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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 andcubic 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.
American Psychological Association (APA)
Elias-Zuniga, Alex& Martínez-Romero, Oscar& Córdoba-Díaz, René K.. 2012. Approximate Solution for the Duffing-Harmonic Oscillator by the Enhanced Cubication Method. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-1029648
Modern Language Association (MLA)
Elias-Zuniga, Alex…[et al.]. Approximate Solution for the Duffing-Harmonic Oscillator by the Enhanced Cubication Method. Mathematical Problems in Engineering No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-1029648
American Medical Association (AMA)
Elias-Zuniga, Alex& Martínez-Romero, Oscar& Córdoba-Díaz, René K.. Approximate Solution for the Duffing-Harmonic Oscillator by the Enhanced Cubication Method. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-1029648
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029648
