A Nonclassical Radau Collocation Method for Nonlinear Initial-Value Problems with Applications to Lane-Emden Type Equations
Joint Authors
Atan, Kamel Ariffin Mohd
Hashim, Ishak
Maleki, Mohammad
Kajani, Majid Tavassoli
Kiliçman, Adem
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-23
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We propose a numerical method for solving nonlinear initial-value problems of Lane-Emden type.
The method is based upon nonclassical Gauss-Radau collocation points, and weighted interpolation.
Nonclassical orthogonal polynomials, nonclassical Radau points and weighted interpolation are introduced on arbitrary intervals.
Then they are utilized to reduce the computation of nonlinear initial-value problems to a system of nonlinear algebraic equations.
We also present the comparison of this work with some well-known results and show that the present solution is very accurate.
American Psychological Association (APA)
Maleki, Mohammad& Kajani, Majid Tavassoli& Hashim, Ishak& Kiliçman, Adem& Atan, Kamel Ariffin Mohd. 2012. A Nonclassical Radau Collocation Method for Nonlinear Initial-Value Problems with Applications to Lane-Emden Type Equations. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-992948
Modern Language Association (MLA)
Maleki, Mohammad…[et al.]. A Nonclassical Radau Collocation Method for Nonlinear Initial-Value Problems with Applications to Lane-Emden Type Equations. Journal of Applied Mathematics No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-992948
American Medical Association (AMA)
Maleki, Mohammad& Kajani, Majid Tavassoli& Hashim, Ishak& Kiliçman, Adem& Atan, Kamel Ariffin Mohd. A Nonclassical Radau Collocation Method for Nonlinear Initial-Value Problems with Applications to Lane-Emden Type Equations. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-992948
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-992948