Using Reproducing Kernel for Solving‎ ‎the Lane-Emden Equations‎, ‎Arising in Astrophysics

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  • Ebrahim Amini*1,
  • Asghar Taheri2,
  • Majid Abedini3,
  1. Department of Mathematics, Payme Noor University, P. O. Box 19395-4697, Tehran, IRAN
  2. Department of Mathematics, Payme Noor University.
  3. Department of Mathematics, Payme Noor University

Revised: 10-04-2020

Accepted: 20-06-2020

Published in Issue 01-09-2020

How to Cite

Amini, E., Taheri, A., & Abedini, M. (2020). Using Reproducing Kernel for Solving‎ ‎the Lane-Emden Equations‎, ‎Arising in Astrophysics. International Journal of Mathematical Modelling & Computations, 10(3), 179-202. https://oiccpress.com/ijm2c/article/view/11068

Abstract

‎In this paper‎, ‎we utilize an algorithm for solving nonlinear ordinary differential equations of Lane-Emden type on a semi-infinite interval‎. ‎The algorithm is based on an iterative technique and the‎reproducing kernel Hibert method‎. ‎We give‎ the convergence analysis for the proposed method‎. ‎The validity and applicability of the proposed‎ ‎method are demonstrated by some numerical examples‎. ‎The obtained results and comparison with‎ ‎other methods provide confirmation for the validity of our numerical method‎.
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