- Tytuł:
- An Explicit Analytic Solution to the Thomas-Fermi Equation by the Improved Differential Transform Method
- Autorzy:
-
Fatoorehchi, H.
Abolghasemi, H. - Powiązania:
- https://bibliotekanauki.pl/articles/1198516.pdf
- Data publikacji:
- 2014-05
- Wydawca:
- Polska Akademia Nauk. Instytut Fizyki PAN
- Tematy:
-
02.30.Hq
02.30.Mv
02.60.Lj
21.10.Ft
31.15.-p - Opis:
- 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.
- Źródło:
-
Acta Physica Polonica A; 2014, 125, 5; 1083-1087
0587-4246
1898-794X - Pojawia się w:
- Acta Physica Polonica A
- Dostawca treści:
- Biblioteka Nauki
Artykuł