A Note on the Thomas‐Fermi Equation

DOI10.1002/zamm.19810610311zbMath0467.34014OpenAlexW2080007843MaRDI QIDQ3919985

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Publication date: 1981

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19810610311

zbMATH Keywords

algorithmNewton's method

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (5)

Solvability of some nonlinear boundary value problems ⋮ Existence of symmetric positive solutions for a boundary value problem with integral boundary conditions ⋮ Singular nonlinear boundary value problems for higher order ordinary differential equations ⋮ Existence and Constructive Enclosure of Solutions of Semi‐Linear Degenerate Boundary Value Problems ⋮ Singular differential equations with \((n,p)\) boundary conditions.

Cites Work

• The Shooting Method for the Numerical Solution of a Class of Nonlinear Boundary Value Problems
• The Numerical Solution of Boundary Value Problems with an Essential Singularity
• Monotone methods for the Thomas-Fermi equation
• On a theorem of S. Bernstein

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