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

محورهای موضوعی : فصلنامه ریاضی

Ghasem Kazemi Gelian ¹ ( Department of Mathematics, Shirvan Branch, Islamic Azad University, Shirvan, Iran )

تاریخ دریافت : 1396/11/26 تاریخ پذیرش : 1397/08/20 تاریخ انتشار : 1397/05/10

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

چکیده مقاله :

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.