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Mathematics 2017, 5(4), 77; doi:10.3390/math5040077

Solving the Lane–Emden Equation within a Reproducing Kernel Method and Group Preserving Scheme

1
Department of Mathematics, Basic Science Faculty, University of Bonab, Bonab 55517-61167, Iran
2
Department of Mathematics, Art and Science Faculty, Siirt University, TR-56100 Siirt, Turkey
3
Department of Mathematics, Science Faculty, Fırat University, 23119 Elazığ, Turkey
4
Department of Mathematics, Art and Science Faculty, Çankaya University, TR-06300 Ankara, Turkey
5
Department of Mathematics Bucharest, Institute of Space Sciences, Bucharest 179141, Romania
*
Author to whom correspondence should be addressed.
Received: 17 October 2017 / Revised: 26 November 2017 / Accepted: 5 December 2017 / Published: 12 December 2017
(This article belongs to the Special Issue Advances in Differential and Difference Equations with Applications)
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Abstract

We apply the reproducing kernel method and group preserving scheme for investigating the Lane–Emden equation. The reproducing kernel method is implemented by the useful reproducing kernel functions and the numerical approximations are given. These approximations demonstrate the preciseness of the investigated techniques. View Full-Text
Keywords: Lane–Emden equation; group preserving scheme; reproducing kernel functions; approximate solutions Lane–Emden equation; group preserving scheme; reproducing kernel functions; approximate solutions
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Hashemi, M.S.; Akgül, A.; Inc, M.; Mustafa, I.S.; Baleanu, D. Solving the Lane–Emden Equation within a Reproducing Kernel Method and Group Preserving Scheme. Mathematics 2017, 5, 77.

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