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  1. 1 Acta Physica Polonica A

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  1. 1 2014

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  1. 1 Abolghasemi H.

  2. 1 Fatoorehchi H.

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An Explicit Analytic Solution to the Thomas-Fermi Equation by the Improved Differential Transform Method

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Fatoorehchi H., Abolghasemi H.
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vol. 125
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issue 5
1083-1087
EN
In this paper, a newly proposed analytical scheme by the authors namely the improved differential transform method is employed to provide an explicit series solution to the Thomas-Fermi equation. The solution procedure is very straightforward, requiring merely elementary operations together with differentiation, and ends up in a recursive formula involving the Adomian polynomials to afford the unknown coefficients. Unlike many other methods, our approach is free of integration and hence can be of computational interest. In addition, a very good agreement between the proposed solution and the results from several well-known works in the literature is demonstrated.
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