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

Mir Sajjad Hashemi, Ali Akgül, Mustafa Inc, Idrees Sedeeq Mustafa and Dumitru Baleanu
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Mir Sajjad Hashemi: Department of Mathematics, Basic Science Faculty, University of Bonab, Bonab 55517-61167, Iran
Ali Akgül: Department of Mathematics, Art and Science Faculty, Siirt University, TR-56100 Siirt, Turkey
Mustafa Inc: Department of Mathematics, Science Faculty, Fırat University, 23119 Elazığ, Turkey
Idrees Sedeeq Mustafa: Department of Mathematics, Art and Science Faculty, Siirt University, TR-56100 Siirt, Turkey
Dumitru Baleanu: Department of Mathematics, Art and Science Faculty, Çankaya University, TR-06300 Ankara, Turkey

Mathematics, 2017, vol. 5, issue 4, 1-13

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.

Keywords: Lane–Emden equation; group preserving scheme; reproducing kernel functions; approximate solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2017
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