Analytical approximate solutions to the Thomas-Fermi equation

• Authors: Vasile Marinca , Remus-Daniel Ene
• Languages of publication: EN

Abstracts

EN

The purpose of this paper is to show how to use the Optimal Homotopy Asymptotic Method (OHAM) to solve the nonlinear differential Thomas-Fermi equation. Our procedure does not depend upon small parameters and provides us with a convenient way to optimally control the convergence of the approximate solutions. An excellent agreement was found between our approximate results and numerical solutions, which prove that OHAM is very efficient in practice, ensuring a very rapid convergence after only one iteration.

Keywords

EN

optimal homotopy asymptotic method; Thomas-Fermi equation; nonlinear differential equation; singularity; auxiliary function; optimal parameters

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2014
• Volume: 12
• Issue: 7
• Pages: 503-510

Dates

published

1 - 7 - 2014

online

21 - 6 - 2014

Contributors

author

Vasile Marinca

author

Remus-Daniel Ene

• Department of Mathematics, Polytehnica University of Timişoara, Timişoara, 300006, Romania

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Identifiers

DOI

10.2478/s11534-014-0472-9