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

• Authors: H. Fatoorehchi , H. Abolghasemi
• Languages of publication: EN

Abstracts

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.

Keywords

EN

02.30.Hq; 02.30.Mv; 02.60.Lj; 21.10.Ft; 31.15.-p

Discipline

• 31.15.-p: Calculations and mathematical techniques in atomic and molecular physics(see also 02.70.-c Computational techniques, in mathematical methods in physics)
• 21.10.Ft: Charge distribution
• 02.30.Mv: Approximations and expansions
• 02.60.Lj: Ordinary and partial differential equations; boundary value problems
• 02.30.Hq: Ordinary differential equations

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2014
• Volume: 125
• Issue: 5
• Pages: 1083-1087

Dates

published

2014-05

received

2013-03-29

(unknown)

2013-09-27

(unknown)

2014-02-20

Contributors

author

H. Fatoorehchi

• Center for Separation Processes Modeling and Nano-Computations, School of Chemical Engineering College of Engineering, University of Tehran, P.O. Box 11155/4563, Tehran, Iran

author

H. Abolghasemi

• Center for Separation Processes Modeling and Nano-Computations, School of Chemical Engineering College of Engineering, University of Tehran, P.O. Box 11155/4563, Tehran, Iran
• Oil and Gas Center of Excellence, University of Tehran, Tehran, Iran

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Identifiers

DOI

10.12693/APhysPolA.125.1083