Accurate calculation of the solutions to the Thomas-Fermi equations

DOI10.1016/j.amc.2014.01.137zbMath1410.81015arXiv1205.1704OpenAlexW2593968251MaRDI QIDQ1646194

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

Publication date: 22 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.1704

zbMATH Keywords

Chebyshev polynomialssingular pointsPadé approximantspower seriesThomas-Fermi equationsHermite-Padé approximantsHankel-Padé methodcritical slope

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (13)

Log Orthogonal Functions in Semi-Infinite Intervals: Approximation Results and Applications ⋮ Asymptotic solutions for a relativistic formulation of the generalized nonextensive Thomas-Fermi model ⋮ The Kidder Equation: ⋮ Accurate calculation of the solutions to the Thomas-Fermi equations ⋮ Modified sinc-Galerkin method for nonlinear boundary value problems ⋮ A hybrid augmented compact finite volume method for the Thomas-Fermi equation ⋮ Exploring the novel continuum-cancellation Leal-method for the approximate solution of nonlinear differential equations ⋮ An efficient numerical method for solving nonlinear Thomas-Fermi equation ⋮ Accurate solution of the Thomas-Fermi equation using the fractional order of rational Chebyshev functions ⋮ Laguerre pseudospectral approximation to the Thomas-Fermi equation ⋮ A Computationally Hybrid Method for Solving a Famous Physical Problem on an Unbounded Domain ⋮ The series expansion and Chebyshev collocation method for nonlinear singular two-point boundary value problems ⋮ Spectral method for solving the nonlinear Thomas-Fermi equation based on exponential functions

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