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

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.

کلیدواژه ها:

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