An optimal iteration method with application to the Thomas-Fermi equation |
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Authors: | Vasile Marinca and Nicolae Heri?anu |
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Institution: | (2) Department of Mathematics, Fırat University, Elazığ, Turkey; |
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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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Keywords: | |
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