The modified decomposition method and Pade approximants for solving the Thomas-Fermi equation

In this paper, we propose a new approach to develop a nonperturbative appro ximate solution for the Thomas-Fermi equation. This approach rests on the r ecently developed modification of the Adomian decomposition method. The ini tial slope of the Thomas-Fermi potential y' (0) is computed by converting t he obtained series solution into several diagonal Fade approximants. The pr oposed scheme is presented in a general way so that it can he used in appli ed sciences. (C) 1999 Elsevier Science Inc. All rights reserved.