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

• Autores: A. Kiliçman, Ishak Hashim, M. Tavassoli Kajani, Mohammad Maleki
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 257, Nº 1, 2014, págs. 79-85
• Idioma: inglés
• DOI: 10.1016/j.cam.2013.07.050
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.