Using Reproducing Kernel for Solving the Lane-Emden Equations, Arising in Astrophysics
Subject Areas : International Journal of Mathematical Modelling & Computations
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)
Keywords: Lane-Emden equation, Reproducing kernel Hilbert space method, astrophysics equation,
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.