An operational matrix method for solving Lane–Emden equations arising in astrophysics |
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| Authors: | Yalçın Öztürk Mustafa Gülsu |
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| Institution: | 1. Ula Ali Ko?man Vocational School, Mu?la S?tk? Ko?man University, , Mu?la, Turkey;2. Department of Mathematics, Faculty of Science, Mu?la S?tk? Ko?man University, , Mu?la, Turkey |
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| Abstract: | 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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| Keywords: | Lane– Emden equations Chebyshev polynomials operational matrix approximation method |
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