Accurate calculation of the solutions to the Thomas–Fermi equations

Paolo Amore, John P. Boyd and Francisco M. Fernández

Applied Mathematics and Computation, 2014, vol. 232, issue C, 929-943

Abstract: We obtain highly accurate solutions to the Thomas–Fermi equations for atoms and atoms in very strong magnetic fields. We apply the Padé–Hankel method, numerical integration, power series with Padé and Hermite–Padé approximants and Chebyshev polynomials. Both the slope at origin and the location of the right boundary in the magnetic-field case are given with unprecedented accuracy.

Keywords: Thomas–Fermi equations; Critical slope; Singular points; Hankel–Padé method; Power series; Padé approximants; Hermite–Padé approximants; Chebyshev polynomials (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:232:y:2014:i:c:p:929-943

DOI: 10.1016/j.amc.2014.01.137

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