Application of Multistage Homotopy Perturbation Method to the Chaotic Genesio System
Joint Authors
Rahman, M. M.
Hashim, Ishak
Momani, Shaher M.
Chowdhury, Sazzad Hossien
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-13
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Finding accurate solution of chaotic system by using efficient existing numerical methods is very hard for its complex dynamical behaviors.
In this paper, the multistage homotopy-perturbation method (MHPM) is applied to the Chaotic Genesio system.
The MHPM is a simple reliable modification based on an adaptation of the standard homotopy-perturbation method (HPM).
The HPM is treated as an algorithm in a sequence of intervals for finding accurate approximate solutions to the Chaotic Genesio system.
Numerical comparisons between the MHPM and the classical fourth-order Runge-Kutta (RK4) solutions are made.
The results reveal that the new technique is a promising tool for the nonlinear chaotic systems of ordinary differential equations.
American Psychological Association (APA)
Chowdhury, Sazzad Hossien& Hashim, Ishak& Momani, Shaher M.& Rahman, M. M.. 2012. Application of Multistage Homotopy Perturbation Method to the Chaotic Genesio System. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-512757
Modern Language Association (MLA)
Chowdhury, Sazzad Hossien…[et al.]. Application of Multistage Homotopy Perturbation Method to the Chaotic Genesio System. Abstract and Applied Analysis No. 2012 (2012), pp.1-10.
https://search.emarefa.net/detail/BIM-512757
American Medical Association (AMA)
Chowdhury, Sazzad Hossien& Hashim, Ishak& Momani, Shaher M.& Rahman, M. M.. Application of Multistage Homotopy Perturbation Method to the Chaotic Genesio System. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-512757
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-512757