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Zbl 1183.65086
Noor, Muhammad Aslam; Mohyud-Din, Syed Tauseef
Homotopy perturbation method for solving Thomas-Fermi equation using Padé approximants. (English)
[J] Int. J. Nonlinear Sci. 8, No. 1, 27-31 (2009). ISSN 1749-3889; ISSN 1749-3897/e

Summary: We apply a relatively new technique which is called the homotopy perturbation method (HPM) for solving Thomas-Fermi equation which plays an important role in mathematical physics. The initial slope of the Thomas-Fermi potential $y'(0)$ is computed by converting the obtained series solution into several diagonal Padé approximants. The analytical results are calculated in terms of convergent series with easily computable components. Numerical results reveal the complete reliability of the proposed scheme.

MSC 2000:: *65L05 Initial value problems for ODE (numerical methods)
34A34 Nonlinear ODE and systems, general

Keywords: homotopy perturbation method; Thomas Fermi equation; Padé approximants; numerical results

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