A variational-iterative approximate solution of the Thomas-Fermi equation

DOI10.1090/qam/736506zbMath0533.49020OpenAlexW2472662419MaRDI QIDQ3316090

P. W. Core, Brian L. Burrows

Publication date: 1984

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/736506

zbMATH Keywords

rate of convergenceThomas-Fermi equationVariational-iterative solutions

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Variational principles of physics (49S05)

Related Items (9)

Chebyshev series solution of the Thomas-Fermi equation ⋮ Modified sinc-Galerkin method for nonlinear boundary value problems ⋮ An explicit analytic solution to the Thomas-Fermi equation. ⋮ Solution of the Thomas-Fermi equation with a convergent approach ⋮ Enclosures of the solution of the Thomas-Fermi equation by monotone discretization ⋮ Laguerre pseudospectral approximation to the Thomas-Fermi equation ⋮ Solving nonlinear boundary value problems using He's polynomials and Padé approximants ⋮ Variation and series approach to the Thomas-Fermi equation ⋮ The modified decomposition method and Padé approximants for solving the Thomas-Fermi equation

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