Numerical solution of the Lane-Emden equation based on DE transformation via Sinc collocation method

International Journal of Mathematical Modelling & Computations

مقاله 5، دوره 8، 3 (SUMMER) - شماره پیاپی 31، تابستان 2018، صفحه 2-3  

نوع مقاله: Full Length Article

نویسنده

Ghasem Kazemi Gelian

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

چکیده

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.

کلیدواژه‌ها

Integral equations‎؛ Lane-Emden equation؛ Sinc collocation‎ ‎method‎؛ ‎double exponential transformation.‎