On the rational second kind Chebyshev pseudospectral method for the solution of the Thomas-Fermi equation over an infinite interval

Authors:
A. Kılıçman;Ishak Hashim;M. Tavassoli Kajani;Mohammad Maleki
Affiliations:
-;-;-;-
Venue:
Journal of Computational and Applied Mathematics
Year:
2014

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Abstract

In this paper, we propose a pseudospectral method for solving the Thomas-Fermi equation which is a nonlinear singular ordinary differential equation on a semi-infinite interval. This approach is based on the rational second kind Chebyshev pseudospectral method that is indeed a combination of tau and collocation methods. This method reduces the solution of this problem to the solution of a system of algebraic equations. The slope at origin is provided with high accuracy. Comparison with some numerical solutions shows that the present solution is effective and highly accurate.