Another rational analytical approximation to the Thomas-Fermi equation

Abstract

A new rational analytic approximation to the solution of the Thomas-Fermi boundary value problem is presented. The approximation is a development of the original conception of J.C. Mason [5] and has been developed to reproduce the numerical work of Parand et al [11], as far as proved feasible. The fit to the numerical data, by a basic collocation process applied to the rational approximation, proved excellent. Mathematics Subject Classification: 34A34, 34A45, 34B15, 34B40, 65L60