Next Article in Journal
Convertible Subspaces of Hessenberg-Type Matrices
Next Article in Special Issue
A Numerical Solution of Fractional Lienard’s Equation by Using the Residual Power Series Method
Previous Article in Journal
On Some New Properties of the Fundamental Solution to the Multi-Dimensional Space- and Time-Fractional Diffusion-Wave Equation
Open AccessArticle

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.
Mathematics 2017, 5(4), 77; https://doi.org/10.3390/math5040077
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)
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
Show Figures

Figure 1

MDPI and ACS Style

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.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop