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

Document Type: Full Length Article

Author

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

Abstract

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.

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