Rational Chebyshev pseudospectral approach for solving Thomas–Fermi equation

In this Letter we propose a pseudospectral method for solving Thomas–Fermi equation which is a nonlinear ordinary differential equation on semi-infinite interval. This approach is based on rational Chebyshev pseudospectral method. 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.