The Thomas-Fermi problem and solutions of the Emden-Fowler equation

DOI10.1134/S096554251908013XzbMath1430.34031OpenAlexW2976803352WikidataQ127205288 ScholiaQ127205288MaRDI QIDQ2278214

S. V. Pikulin

Publication date: 4 December 2019

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s096554251908013x

zbMATH Keywords

Emden-Fowler equationPainlevé testparametric representationAbel equation of second kindThomas-Fermi problemFuchs index

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (5)

High order hybrid asymptotic augmented finite volume methods for nonlinear degenerate wave equations ⋮ Parametrization of solutions to the Emden-Fowler equation and the Thomas-Fermi model of compressed atoms ⋮ Integrated intelligent computing with neuro-swarming solver for multi-singular fourth-order nonlinear Emden-Fowler equation ⋮ Analytical-numerical method for calculating the Thomas-Fermi potential ⋮ The series expansion and Chebyshev collocation method for nonlinear singular two-point boundary value problems

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