Solution of the Lane-Emden Equation Using the Bernstein Operational Matrix of Integration
Joint Authors
Kumar, Narayan
Cattani, Carlo
Pandey, Rajesh K.
Source
ISRN Astronomy and Astrophysics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-11
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Lane-Emden's equation has fundamental importance in the recent analysis of many problems in relativity and astrophysics including some models of density profiles for dark matter halos.
An efficient numerical method is presented for linear and nonlinear Lane-Emden-type equations using the Bernstein polynomial operational matrix of integration.
The proposed approach is different from other numerical techniques as it is based on the Bernstein polynomial integration matrix.
Some illustrative examples are given to demonstrate the efficiency and validity of the proposed algorithm.
American Psychological Association (APA)
Kumar, Narayan& Pandey, Rajesh K.& Cattani, Carlo. 2012. Solution of the Lane-Emden Equation Using the Bernstein Operational Matrix of Integration. ISRN Astronomy and Astrophysics،Vol. 2011, no. 2011, pp.1-7.
https://search.emarefa.net/detail/BIM-465050
Modern Language Association (MLA)
Kumar, Narayan…[et al.]. Solution of the Lane-Emden Equation Using the Bernstein Operational Matrix of Integration. ISRN Astronomy and Astrophysics No. 2011 (2011), pp.1-7.
https://search.emarefa.net/detail/BIM-465050
American Medical Association (AMA)
Kumar, Narayan& Pandey, Rajesh K.& Cattani, Carlo. Solution of the Lane-Emden Equation Using the Bernstein Operational Matrix of Integration. ISRN Astronomy and Astrophysics. 2012. Vol. 2011, no. 2011, pp.1-7.
https://search.emarefa.net/detail/BIM-465050
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-465050
