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، آبان 2018، صفحه 189-198   

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.‎