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

Document Type : Full Length Article

Authors

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

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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