![](/images/graphics-bg.png)
New Analytic Solution to the Lane-Emden Equation of Index 2
Joint Authors
Shateyi, Stanford
Motsa, Sandile Sydney
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-27
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
We present two new analytic methods that are used for solving initial value problems that model polytropic and stellar structures in astrophysics and mathematical physics.
The applicability, effectiveness, and reliability of the methods are assessed on the Lane-Emden equation which is described by a second-order nonlinear differential equation.
The results obtained in this work are also compared with numerical results of Horedt (1986) which are widely used as a benchmark for testing new methods of solution.
Good agreement is observed between the present results and the numerical results.
Comparison is also made between the proposed new methods and existing analytical methods and it is found that the new methods are more efficient and have several advantages over some of the existing analytical methods.
American Psychological Association (APA)
Motsa, Sandile Sydney& Shateyi, Stanford. 2012. New Analytic Solution to the Lane-Emden Equation of Index 2. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-1001757
Modern Language Association (MLA)
Motsa, Sandile Sydney& Shateyi, Stanford. New Analytic Solution to the Lane-Emden Equation of Index 2. Mathematical Problems in Engineering No. 2012 (2012), pp.1-19.
https://search.emarefa.net/detail/BIM-1001757
American Medical Association (AMA)
Motsa, Sandile Sydney& Shateyi, Stanford. New Analytic Solution to the Lane-Emden Equation of Index 2. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-1001757
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001757