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

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  • Majid Tavassoli Kajani
  • Adem Kılıçman
  • Mohammad Maleki

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.

Suggested Citation

  • Majid Tavassoli Kajani & Adem Kılıçman & Mohammad Maleki, 2013. "The Rational Third-Kind Chebyshev Pseudospectral Method for the Solution of the Thomas-Fermi Equation over Infinite Interval," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-6, June.
    • Handle: RePEc:hin:jnlmpe:537810
    DOI: 10.1155/2013/537810
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