An Iterative Technique for Obtaining Solutions of a Thomas–Fermi Equation

DOI10.1137/0509032zbMath0389.65039OpenAlexW2023930970MaRDI QIDQ4171530

C. D. Luning

Publication date: 1978

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0509032

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Nonlinear boundary value problems for ordinary differential equations (34B15) Atomic physics (81V45) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Ordinary differential operators (34L99)

Related Items (6)

Multiple eigenvalues for singular Hammerstein integral equations with applications to boundary value problems ⋮ Solution of a Thomas-Fermi problem using linear approximants ⋮ Implementation of new iterative techniques for solutions of Thomas-Fermi and Emden-Fowler equations ⋮ Enclosures of the solution of the Thomas-Fermi equation by monotone discretization ⋮ Constructive existence theorems for problems of Thomas‐Fermi Type ⋮ Existence of boundary value problems for TFD equation in quantum mechanics

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