The modified decomposition method and Padé approximants for solving the Thomas-Fermi equation
type: Item
instance of: scholarly article
title: The modified decomposition method and Padé approximants for solving the Thomas-Fermi equation
zbMATH Open document ID: 0956.65064
DOI: 10.1016/S0096-3003(98)10090-5
author: Abdul-Majid Wazwaz
published in: Applied Mathematics and Computation
publication date: 2001-03-20T00:00:00Z
review text: Methods for approximating the solution of the Thomas-Fermi equation are discussed, where particular emphasis is put on the approximation of the slope at zero. For this purpose, a modification of Adomian's method for expanding the solution into a polynomial series is proposed. To handle the boundary condition at infinity, a combination with Padé approximation is used. Finally, the slope at zero is obtained by solving a polynomial equation.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B30
zbMATH DE Number: 1355446
zbMATH Keywords: series expansion
zbMATH Keywords: Thomas-Fermi equation
zbMATH Keywords: Adomian's method
zbMATH Keywords: polynomial series
zbMATH Keywords: Padé approximation
reviewed by: Michael Plum
MaRDI profile type: Publication
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full work available at URL: s0096-3003(98)10090-5
OpenAlex ID: W2143079075
description: scientific article; zbMATH DE number 1355446