Research Article

Solution of Lane-Emden Equation with Fourier Decomposition Method

Volume: 17 Number: 2 November 25, 2022
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Solution of Lane-Emden Equation with Fourier Decomposition Method

Abstract

In this article, we tried to get the solution of a class of Lane Emden type equations by using the Fourier Decomposition Method. This method is obtained by using the Fourier transform and the Adomian Decomposition method (FADM) together.

Keywords

References

  1. A.M.Wazwaz,“A new algorithm for solving differential equations of Lane-Emden type,” Appl. Math. Comput., 118 (2-3), 287–310, 2001.
  2. S. Mukherjee, B. Roy and P. K.Chaterjee, “Solution of Lane-Emden Equation by Differential Transform Method,” Int. J. Nonlinear Sci., 12 (4), 478-484, 2011.
  3. A. Yıldırım, T. Öziş, “Solutions of singular IVPs of Lane-Emden type by the variational iteration method,” Nonlinear Anal.- Theor., 70 (6), 2480–2484, 2009.
  4. K. Parand, M. Razzaghi, “Rational Legendre approximation for solving some physical problems on semi-infinite intervals”, Phys. Scr., 69(5), 353-357, 2004.
  5. K. Parand, M. Razzaghi,“Rational Chebyshev tau method for solving higher-order ordinary differential equations,” Int. J. Comput. Math., 81(1), 73-80, 2004.
  6. Y. Khan, Z. Svoboda, Z. Smarda, “Solving certain classes of Lane-Emden type equations using the differential transformation method,” Adv.Differ. Equ., 2012(1), 1-11, 2012
  7. M. Yiğider, K. Tabatabaei, E. Çelik, “The Numerical Method for Solving Differential Equations of Lane-Emden Type by Pade Approximation,” Discrete Dyn. Nat. Soc., 2011, 1-9, 2011.
  8. S. G. Hosseini, S. Abbasbandy, “Solution of Lane-Emden type equations by combination of the spectral method and Adomian Decomposition method,” Math. Probl. Eng., 2015, 1-10, 2015.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

November 25, 2022

Submission Date

August 3, 2021

Acceptance Date

June 17, 2022

Published in Issue

Year 2022 Volume: 17 Number: 2

APA
Düz, M. (2022). Solution of Lane-Emden Equation with Fourier Decomposition Method. Süleyman Demirel University Faculty of Arts and Science Journal of Science, 17(2), 247-260. https://doi.org/10.29233/sdufeffd.978260
AMA
1.Düz M. Solution of Lane-Emden Equation with Fourier Decomposition Method. Süleyman Demirel University Faculty of Arts and Science Journal of Science. 2022;17(2):247-260. doi:10.29233/sdufeffd.978260
Chicago
Düz, Murat. 2022. “Solution of Lane-Emden Equation With Fourier Decomposition Method”. Süleyman Demirel University Faculty of Arts and Science Journal of Science 17 (2): 247-60. https://doi.org/10.29233/sdufeffd.978260.
EndNote
Düz M (November 1, 2022) Solution of Lane-Emden Equation with Fourier Decomposition Method. Süleyman Demirel University Faculty of Arts and Science Journal of Science 17 2 247–260.
IEEE
[1]M. Düz, “Solution of Lane-Emden Equation with Fourier Decomposition Method”, Süleyman Demirel University Faculty of Arts and Science Journal of Science, vol. 17, no. 2, pp. 247–260, Nov. 2022, doi: 10.29233/sdufeffd.978260.
ISNAD
Düz, Murat. “Solution of Lane-Emden Equation With Fourier Decomposition Method”. Süleyman Demirel University Faculty of Arts and Science Journal of Science 17/2 (November 1, 2022): 247-260. https://doi.org/10.29233/sdufeffd.978260.
JAMA
1.Düz M. Solution of Lane-Emden Equation with Fourier Decomposition Method. Süleyman Demirel University Faculty of Arts and Science Journal of Science. 2022;17:247–260.
MLA
Düz, Murat. “Solution of Lane-Emden Equation With Fourier Decomposition Method”. Süleyman Demirel University Faculty of Arts and Science Journal of Science, vol. 17, no. 2, Nov. 2022, pp. 247-60, doi:10.29233/sdufeffd.978260.
Vancouver
1.Murat Düz. Solution of Lane-Emden Equation with Fourier Decomposition Method. Süleyman Demirel University Faculty of Arts and Science Journal of Science. 2022 Nov. 1;17(2):247-60. doi:10.29233/sdufeffd.978260

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