Variational-B-spline iteration method for solution of Lane-Emden equation

Subject Scientific Computing
Title Variational-B-spline iteration method for solution of Lane-Emden equation
Author(s) Mehrdad Lakestani
Keywords B-spline function, Lane-Emden equation, Operational matrix of derivative, Operational matrix of integration
Abstract In this paper, the variational method based on the linear B-spline functions are presented for the solution of Lane-Emden equation. Some properties of B-spline functions are presented and is utilized to solve the Lane-Emden equation numerically. Illustrative examples are included to demonstrate the validity and applicability of the presented technique.