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  1. 1 2011

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  1. 1 Herişanu N.

  2. 1 Marinca V.

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

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Marinca V., Herişanu N.
Open Physics
|
2011
|
vol. 9
|
issue 3
891-895
EN
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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