Bernstein Series Solution of a Class of Lane-Emden Type Equations
Joint Authors
Isik, Osman Rasit
Sezer, Mehmet
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-08
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The purpose of this study is to present an approximate solution that depends on collocation points and Bernstein polynomials for a class of Lane-Emden type equations with mixed conditions.
The method is given with some priori error estimate.
Even the exact solution is unknown, an upper bound based on the regularity of the exact solution will be obtained.
By using the residual correction procedure, the absolute error can be estimated.
Also, one can specify the optimal truncation limit n which gives a better result in any norm.
Finally, the effectiveness of the method is illustrated by some numerical experiments.
Numerical results are consistent with the theoretical results.
American Psychological Association (APA)
Isik, Osman Rasit& Sezer, Mehmet. 2013. Bernstein Series Solution of a Class of Lane-Emden Type Equations. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1009357
Modern Language Association (MLA)
Isik, Osman Rasit& Sezer, Mehmet. Bernstein Series Solution of a Class of Lane-Emden Type Equations. Mathematical Problems in Engineering No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-1009357
American Medical Association (AMA)
Isik, Osman Rasit& Sezer, Mehmet. Bernstein Series Solution of a Class of Lane-Emden Type Equations. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1009357
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1009357