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.
