Higher-Order Solutions of Coupled Systems Using the Parameter Expansion Method
Joint Authors
Ganji, S. S.
Sfahani, M. G.
Modares Tonekaboni, S. M.
Ganji, Ganji Dormiti
Moosavi, A. K.
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-08-11
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
We consider periodic solution for coupled systems of mass-spring.
Three practical cases of these systems are explained and introduced.
An analytical technique called Parameter Expansion Method (PEM) was applied to calculate approximations to the achieved nonlinear differential oscillation equations.
Comparing with exact solutions, the first approximation to the frequency of oscillation produces tolerable error 3.14% as the maximum.
By the second iteration the respective error became 1/5th, as it is 0.064%.
So we conclude that the first approximation of PEM is so benefit when a quick answer is required, but the higher order approximation gives a convergent precise solution when an exact solution is required.
American Psychological Association (APA)
Ganji, S. S.& Sfahani, M. G.& Modares Tonekaboni, S. M.& Moosavi, A. K.& Ganji, Ganji Dormiti. 2009. Higher-Order Solutions of Coupled Systems Using the Parameter Expansion Method. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-20.
https://search.emarefa.net/detail/BIM-463843
Modern Language Association (MLA)
Ganji, S. S.…[et al.]. Higher-Order Solutions of Coupled Systems Using the Parameter Expansion Method. Mathematical Problems in Engineering No. 2009 (2009), pp.1-20.
https://search.emarefa.net/detail/BIM-463843
American Medical Association (AMA)
Ganji, S. S.& Sfahani, M. G.& Modares Tonekaboni, S. M.& Moosavi, A. K.& Ganji, Ganji Dormiti. Higher-Order Solutions of Coupled Systems Using the Parameter Expansion Method. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-20.
https://search.emarefa.net/detail/BIM-463843
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-463843