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

الموضوعات : فصلنامه ریاضی

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

تاريخ الإرسال : 29 الخميس , جمادى الأولى, 1439 تاريخ التأكيد : 03 الأحد , ربيع الأول, 1440 تاريخ الإصدار : 19 الأربعاء , ذو القعدة, 1439

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

ملخص المقالة :

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.