Enclosures of the solution of the Thomas-Fermi equation by monotone discretization

DOI10.1016/0021-9991(92)90170-4zbMath0753.65066OpenAlexW2148346819MaRDI QIDQ1184633

Christian Grossmann

Publication date: 28 June 1992

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(92)90170-4

zbMATH Keywords

numerical resultsThomas-Fermi equationmonotone discretizationenclosure of solutionuniform lower and upper bounds

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Interval and finite arithmetic (65G30) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items (2)

Solution of Emden-type problems using accurate, efficient discretisation schemes ⋮ A grid generator for problems on unbounded intervals with rationally decaying solutions

Cites Work

• Gleichmäßig einschließende Diskretisierungsverfahren für schwach nichtlineare Randwertaufgaben. (Uniformly enclosing discretization methods for weakly nonlinear boundary value problems)
• Non polynomial splines and weakly singular two-point boundary value problems
• Implementation of new iterative techniques for solutions of Thomas-Fermi and Emden-Fowler equations
• A variational-iterative approximate solution of the Thomas-Fermi equation
• A constructive method for the Thomas-Fermi equation
• A constructive solution for a generalized Thomas-Fermi theory of ionized atoms
• Variational solutions of the Thomas-Fermi equation
• An Iterative Technique for Obtaining Solutions of a Thomas–Fermi Equation
• Monotone methods for the Thomas-Fermi equation
• Thomas-Fermi Equation Solution by the Differential Analyzer
• Equivalent Norms for Sobolev Spaces

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