Ebrahim Amini - Department of Mathematics, Payme Noor University, P. O. Box ۱۹۳۹۵-۴۶۹۷, Tehran, IRAN
Asghar Taheri - Department of Mathematics, Payme Noor University.
Majid Abedini - Department of Mathematics, Payme Noor University

‎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.

Reproducing kernel Hilbert space method, Lane-Emden equation, astrophysics equation‎