The Sinc-collocation method for solving the Thomas-Fermi equation

Authors:
K. Parand;Mehdi Dehghan;A. Pirkhedri
Affiliations:
Department of Computer Sciences, Shahid Beheshti University, G.C. Tehran, Iran;Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No.424, Hafez Avenue, Tehran 15914, Iran;Department of Computer Sciences, Islamic Azad University Branch of Marivan, Marivan, Iran
Venue:
Journal of Computational and Applied Mathematics
Year:
2013

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Abstract

A numerical technique for solving nonlinear ordinary differential equations on a semi-infinite interval is presented. We solve the Thomas-Fermi equation by the Sinc-Collocation method that converges to the solution at an exponential rate. This method is utilized to reduce the nonlinear ordinary differential equation to some algebraic equations. This method is easy to implement and yields very accurate results.