Series Solution of the Multispecies Lotka-Volterra Equations by Means of the Homotopy Analysis Method
Joint Authors
Noorani, Mohd. Salmi Md.
Hashim, Ishak
Bataineh, A. Sami
Source
International Journal of Differential Equations
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-07-10
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The time evolution of the multispecies Lotka-Volterra system is investigated by the homotopy analysis method (HAM).
The continuous solution for the nonlinear system is given, which provides a convenient and straightforward approach to calculate the dynamics of the system.
The HAM continuous solution generated by polynomial base functions is of comparable accuracy to the purely numerical fourth-order Runge-Kutta method.
The convergence theorem for the three-dimensional case is also given.
American Psychological Association (APA)
Bataineh, A. Sami& Noorani, Mohd. Salmi Md.& Hashim, Ishak. 2008. Series Solution of the Multispecies Lotka-Volterra Equations by Means of the Homotopy Analysis Method. International Journal of Differential Equations،Vol. 2008, no. 2008, pp.1-14.
https://search.emarefa.net/detail/BIM-987854
Modern Language Association (MLA)
Bataineh, A. Sami…[et al.]. Series Solution of the Multispecies Lotka-Volterra Equations by Means of the Homotopy Analysis Method. International Journal of Differential Equations No. 2008 (2008), pp.1-14.
https://search.emarefa.net/detail/BIM-987854
American Medical Association (AMA)
Bataineh, A. Sami& Noorani, Mohd. Salmi Md.& Hashim, Ishak. Series Solution of the Multispecies Lotka-Volterra Equations by Means of the Homotopy Analysis Method. International Journal of Differential Equations. 2008. Vol. 2008, no. 2008, pp.1-14.
https://search.emarefa.net/detail/BIM-987854
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-987854
