An Optimal Iteration Method for Strongly Nonlinear Oscillators
Joint Authors
Marinca, Vasile
Herişanu, Nicolae
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-04
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We introduce a new method, namely, the Optimal Iteration Perturbation Method (OIPM), to solve nonlinear differential equations of oscillators with cubic and harmonic restoring force.
We illustrate that OIPM is very effective and convenient and does not require linearization or small perturbation.
Contrary to conventional methods, in OIPM, only one iteration leads to high accuracy of the solutions.
The main advantage of this approach consists in that it provides a convenient way to control the convergence of approximate solutions in a very rigorous way and allows adjustment of convergence regions where necessary.
A very good agreement was found between approximate and numerical solutions, which prove that OIPM is very efficient and accurate.
American Psychological Association (APA)
Marinca, Vasile& Herişanu, Nicolae. 2012. An Optimal Iteration Method for Strongly Nonlinear Oscillators. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-993833
Modern Language Association (MLA)
Marinca, Vasile& Herişanu, Nicolae. An Optimal Iteration Method for Strongly Nonlinear Oscillators. Journal of Applied Mathematics No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-993833
American Medical Association (AMA)
Marinca, Vasile& Herişanu, Nicolae. An Optimal Iteration Method for Strongly Nonlinear Oscillators. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-993833
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993833