Research Article
An operational matrix method for solving Lane–Emden equations arising in astrophysics
Yalçın Öztürk,
Mustafa Gülsu,
Corresponding Author
Yalçın Öztürk
Ula Ali Koçman Vocational School, Muğla Sıtkı Koçman University, Muğla, Turkey
Correspondence to: Yalçın Öztürk, Ula Ali Koçman Vocational School, Muğla Sıtkı Koçman University, Muğla, Turkey.
E-mail: [email protected]
Search for more papers by this authorMustafa Gülsu
Department of Mathematics, Faculty of Science, Muğla Sıtkı Koçman University, Muğla, Turkey
Search for more papers by this authorYalçın Öztürk,
Mustafa Gülsu,
Corresponding Author
Yalçın Öztürk
Ula Ali Koçman Vocational School, Muğla Sıtkı Koçman University, Muğla, Turkey
Correspondence to: Yalçın Öztürk, Ula Ali Koçman Vocational School, Muğla Sıtkı Koçman University, Muğla, Turkey.
E-mail: [email protected]
Search for more papers by this authorMustafa Gülsu
Department of Mathematics, Faculty of Science, Muğla Sıtkı Koçman University, Muğla, Turkey
Search for more papers by this authorAbstract
This paper deals with the numerical solution of Lane–Emden equations in arising in astrophysics by using truncated shifted Chebyshev series together with the operational matrix. The main characteristic behind the approach using this technique is that it reduces such problems to those of solving a system of algebraic equations those greatly simplifying the problem. Some examples are included to demonstrate the validity and applicability of the this technique. Copyright © 2013 John Wiley & Sons, Ltd.
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