Numerical Solution of the Lane-Emden Equation Based on DE Transformation via Sinc Collocation Method

Subject Areas : International Journal of Mathematical Modelling & Computations

Ghasem Kazemi Gelian ¹

1 - Department of Mathematics, Shirvan Branch, Islamic Azad University, Shirvan, Iran

Received: 2018-02-15 Accepted : 2018-11-11 Published : 2018-08-01

Keywords: Lane-Emden equation, Integral equations&lrm, , Sinc collocation&lrm, &lrm, method&lrm, , &lrm, double exponential transformation.&lrm, ,

Abstract :

In this paper‎, ‎numerical solution of‎ ‎general Lane-Emden equation via collocation method based on‎ ‎Double Exponential DE transformation is considered‎. ‎The‎ ‎method converts equation to the nonlinear Volterra integral‎ ‎equation‎. ‎Numerical examples show the accuracy of the method.‎ ‎Also‎, ‎some remarks with respect to run-time‎, computational cost‎ ‎and implementation are discussed.