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

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...

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Bibliographic Details
Published in:Journal of computational and applied mathematics 2014-02, Vol.257, p.79-85
Main Authors: Kılıçman, A., Hashim, Ishak, Tavassoli Kajani, M., Maleki, Mohammad
Format: Article
Language:English
Subjects:
Pseudospectral method
Rational second kind Chebyshev functions
Semi-infinite interval
Singular ODE
Thomas–Fermi equation
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Summary: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.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2013.07.050