Solutions of the Force-Free Duffing-van der Pol Oscillator Equation
Joint Authors
Jamil, Muhammad
Khan, Nadeem Alam
Khan, Najeeb Alam
Ali, Syed Anwar
Source
International Journal of Differential Equations
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-26
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A new approximate method for solving the nonlinear Duffing-van der pol oscillator equation is proposed.
The proposed scheme depends only on the two components of homotopy series, the Laplace transformation and, the Padé approximants.
The proposed method introduces an alternative framework designed to overcome the difficulty of capturing the behavior of the solution and give a good approximation to the solution for a large time.
The Runge-Kutta algorithm was used to solve the governing equation via numerical solution.
Finally, to demonstrate the validity of the proposed method, the response of the oscillator, which was obtained from approximate solution, has been shown graphically and compared with that of numerical solution.
American Psychological Association (APA)
Khan, Najeeb Alam& Jamil, Muhammad& Ali, Syed Anwar& Khan, Nadeem Alam. 2011. Solutions of the Force-Free Duffing-van der Pol Oscillator Equation. International Journal of Differential Equations،Vol. 2011, no. 2011, pp.1-9.
https://search.emarefa.net/detail/BIM-503456
Modern Language Association (MLA)
Khan, Najeeb Alam…[et al.]. Solutions of the Force-Free Duffing-van der Pol Oscillator Equation. International Journal of Differential Equations No. 2011 (2011), pp.1-9.
https://search.emarefa.net/detail/BIM-503456
American Medical Association (AMA)
Khan, Najeeb Alam& Jamil, Muhammad& Ali, Syed Anwar& Khan, Nadeem Alam. Solutions of the Force-Free Duffing-van der Pol Oscillator Equation. International Journal of Differential Equations. 2011. Vol. 2011, no. 2011, pp.1-9.
https://search.emarefa.net/detail/BIM-503456
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-503456