Direct Solution of nth-Order IVPs by Homotopy Analysis Method
Joint Authors
Noorani, Mohd. Salmi Md.
Bataineh, A. Sami
Hashim, Ishak
Source
International Journal of Differential Equations
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-08-02
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Direct solution of a class of nth-order initial value problems (IVPs) is considered based on the homotopy analysis method (HAM).
The HAM solutions contain an auxiliary parameter which provides a convenient way of controlling the convergence region of the series solutions.
The HAM gives approximate analytical solutions which are of comparable accuracy to the seven- and eight-order Runge-Kutta method (RK78).
American Psychological Association (APA)
Bataineh, A. Sami& Noorani, Mohd. Salmi Md.& Hashim, Ishak. 2009. Direct Solution of nth-Order IVPs by Homotopy Analysis Method. International Journal of Differential Equations،Vol. 2009, no. 2009, pp.1-15.
https://search.emarefa.net/detail/BIM-988510
Modern Language Association (MLA)
Bataineh, A. Sami…[et al.]. Direct Solution of nth-Order IVPs by Homotopy Analysis Method. International Journal of Differential Equations No. 2009 (2009), pp.1-15.
https://search.emarefa.net/detail/BIM-988510
American Medical Association (AMA)
Bataineh, A. Sami& Noorani, Mohd. Salmi Md.& Hashim, Ishak. Direct Solution of nth-Order IVPs by Homotopy Analysis Method. International Journal of Differential Equations. 2009. Vol. 2009, no. 2009, pp.1-15.
https://search.emarefa.net/detail/BIM-988510
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-988510
