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

Author

Listed:
  • 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
    Department of Mathematics Bucharest, Institute of Space Sciences, Bucharest 179141, Romania)

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.

Suggested Citation

  • Mir Sajjad Hashemi & Ali Akgül & Mustafa Inc & Idrees Sedeeq Mustafa & Dumitru Baleanu, 2017. "Solving the Lane–Emden Equation within a Reproducing Kernel Method and Group Preserving Scheme," Mathematics, MDPI, vol. 5(4), pages 1-13, December.
    • Handle: RePEc:gam:jmathe:v:5:y:2017:i:4:p:77-:d:122607
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