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.

Keywords:

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

Authors

Ghasem Kazemi Gelian

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

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https://civilica.com/doc/1589998

شناسه ملی سند علمی:

JR_IJMAC-8-3_005

تاریخ نمایه سازی: 28 دی 1401

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Kazemi Gelian, Ghasem,1397,Numerical Solution of the Lane-Emden Equation Based on DE Transformation via Sinc Collocation Method,https://civilica.com/doc/1589998

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Ranking of Islamic Azad University of Shirvan

Type of center: Azad University

Paper count: 868

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