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A Representation of the Exact Solution of Generalized Lane-Emden Equations Using a New Analytical Method
Joint Authors
El-Ajou, Ahmad
Abu Arqub, Omar
Hashim, Ishak
Bataineh, A. Sami
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-08
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A new analytic method is applied to singular initial-value Lane-Emden-type problems, and the effectiveness and performance of the method is studied.
The proposed method obtains a Taylor expansion of the solution, and when the solution is polynomial, our method reproduces the exact solution.
It is observed that the method is easy to implement, valuable for handling singular phenomena, yields excellent results at a minimum computational cost, and requires less time.
Computational results of several test problems are presented to demonstrate the viability and practical usefulness of the method.
The results reveal that the method is very effective, straightforward, and simple.
American Psychological Association (APA)
Abu Arqub, Omar& El-Ajou, Ahmad& Bataineh, A. Sami& Hashim, Ishak. 2013. A Representation of the Exact Solution of Generalized Lane-Emden Equations Using a New Analytical Method. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-467337
Modern Language Association (MLA)
Abu Arqub, Omar…[et al.]. A Representation of the Exact Solution of Generalized Lane-Emden Equations Using a New Analytical Method. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-467337
American Medical Association (AMA)
Abu Arqub, Omar& El-Ajou, Ahmad& Bataineh, A. Sami& Hashim, Ishak. A Representation of the Exact Solution of Generalized Lane-Emden Equations Using a New Analytical Method. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-467337
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-467337