The Rational Third-Kind Chebyshev Pseudospectral Method for the Solution of the Thomas-Fermi Equation over Infinite Interval

Majid Tavassoli Kajani, Adem Kılıçman and Mohammad Maleki

Mathematical Problems in Engineering, 2013, vol. 2013, 1-6

Abstract:

We propose a pseudospectral method for solving the Thomas-Fermi equation which is a nonlinear ordinary differential equation on semi-infinite interval. This approach is based on the rational third-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. Comparison with some numerical solutions shows that the present solution is highly accurate.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:537810

DOI: 10.1155/2013/537810

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