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.
