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

الموضوعات : فصلنامه ریاضی

Ebrahim Amini ¹ (Department of Mathematics, Payme Noor University, P. O. Box 19395-4697, Tehran, IRAN)
Asghar Taheri ² (Department of Mathematics, Payme Noor University.)
Majid Abedini ³ (Department of Mathematics, Payme Noor University)

تاريخ الإرسال : 17 الجمعة , شعبان, 1441 تاريخ التأكيد : 28 السبت , شوال, 1441 تاريخ الإصدار : 13 الثلاثاء , محرم, 1442

الکلمات المفتاحية: Lane-Emden equation, Reproducing kernel Hilbert space method, astrophysics equation‎,

ملخص المقالة :

‎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.