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

محورهای موضوعی : فصلنامه ریاضی

Ebrahim Amini ¹ , Asghar Taheri ² , Majid Abedini ³

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

تاریخ دریافت : 1399/01/22 تاریخ پذیرش : 1399/03/31 تاریخ انتشار : 1399/06/11

کلید واژه: Lane-Emden equation, Reproducing kernel Hilbert space method, astrophysics equation‎,

چکیده مقاله :

‎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.