Multiple-Parameter Hamiltonian Approach for Higher Accurate Approximations of a Nonlinear Oscillator with Discontinuity
Joint Authors
Jamil, Muhammad
Ara, Ismat
Khan, Najeeb Alam
Source
International Journal of Differential Equations
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-07-19
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We applied a new approach to obtain natural frequency of the nonlinear oscillator with discontinuity.
He's Hamiltonian approach is modified for nonlinear oscillator with discontinuity for which the elastic force term is proportional to sgn(u).
We employed this method for higher-order approximate solution of the nonlinear oscillator equation.
This property is used to obtain approximate frequency-amplitude relationship of a nonlinear oscillator with high accuracy.
Many numerical results are given to prove the efficiency of the suggested technique.
American Psychological Association (APA)
Khan, Najeeb Alam& Jamil, Muhammad& Ara, Ismat. 2011. Multiple-Parameter Hamiltonian Approach for Higher Accurate Approximations of a Nonlinear Oscillator with Discontinuity. International Journal of Differential Equations،Vol. 2011, no. 2011, pp.1-7.
https://search.emarefa.net/detail/BIM-488175
Modern Language Association (MLA)
Khan, Najeeb Alam…[et al.]. Multiple-Parameter Hamiltonian Approach for Higher Accurate Approximations of a Nonlinear Oscillator with Discontinuity. International Journal of Differential Equations No. 2011 (2011), pp.1-7.
https://search.emarefa.net/detail/BIM-488175
American Medical Association (AMA)
Khan, Najeeb Alam& Jamil, Muhammad& Ara, Ismat. Multiple-Parameter Hamiltonian Approach for Higher Accurate Approximations of a Nonlinear Oscillator with Discontinuity. International Journal of Differential Equations. 2011. Vol. 2011, no. 2011, pp.1-7.
https://search.emarefa.net/detail/BIM-488175
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-488175