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An explicit analytic solution to the Thomas–Fermi equation
Journal article   Peer reviewed

An explicit analytic solution to the Thomas–Fermi equation

Shijun Liao
Applied mathematics and computation, Vol.144(2), pp.495-506
10/12/2003
DOI: https://doi.org/10.1016/S0096-3003(02)00423-X

Abstract

Explicit analytic solution Nonlinear ODE Thomas–Fermi equation
A new kind of analytic technique, namely the homotopy analysis method, is employed to give an explicit analytic solution of the Thomas–Fermi equation and the related recurrence formulae of constant coefficients. This solution can be regarded as the definition of the exact solution of the Thomas–Fermi equation.

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