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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access February 26, 2011

An optimal iteration method with application to the Thomas-Fermi equation

Vasile Marinca and Nicolae Herişanu
From the journal Open Physics

Abstract

The aim of this paper is to introduce a new approximate method, namely the Optimal Parametric Iteration Method (OPIM) to provide an analytical approximate solution to Thomas-Fermi equation. This new iteration approach provides us with a convenient way to optimally control the convergence of the approximate solution. A good agreement between the obtained solution and some well-known results has been demonstrated. The proposed technique can be easily applied to handle other strongly nonlinear problems.

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Published Online: 2011-2-26
Published in Print: 2011-6-1

© 2010 Versita Warsaw

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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