Solution of a Thomas-Fermi problem using linear approximants

DOI10.1016/0010-4655(93)90119-WzbMath0854.65068OpenAlexW2038162024MaRDI QIDQ1923730

John W. Mooney

Publication date: 10 October 1996

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0010-4655(93)90119-w

zbMATH Keywords

iterative algorithmsboundary value problemThomas-Fermi equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) 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) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (6)

Implicit Midpoint Rule to the Nonlinear Degenerate Boundary Value Problems ⋮ An efficient numerical technique for the solution of nonlinear singular boundary value problems ⋮ Solution of Emden-type problems using accurate, efficient discretisation schemes ⋮ Numerical methods and asymptotic error expansions for the Emden-Fowler equations ⋮ Iterative methods for a singular boundary-value problem ⋮ Boundary value problems singular in the solution variable with nonlinear boundary data

Cites Work

• Implementation of new iterative techniques for solutions of Thomas-Fermi and Emden-Fowler equations
• Computational methods for generalized Thomas-Fermi models of neutral atoms
• Constructive existence theorems for problems of Thomas‐Fermi Type
• An Iterative Technique for Obtaining Solutions of a Thomas–Fermi Equation
• A unified approach to the solution of certain classes of nonlinear boundary value problems using monotone iterations

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