Solution of Emden-type problems using accurate, efficient discretisation schemes

DOI10.1016/0010-4655(94)90052-3zbMath0868.65052OpenAlexW2006169640MaRDI QIDQ1355351

John W. Mooney

Publication date: 27 May 1997

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

Full work available at URL: https://doi.org/10.1016/0010-4655(94)90052-3

zbMATH Keywords

quadratic convergenceextrapolationlinear algorithmsEmden equationsnonlinear singular boundary value problems

Mathematics Subject Classification ID

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

Related Items (3)

Implicit Midpoint Rule to the Nonlinear Degenerate Boundary Value Problems ⋮ Iterative methods for a singular boundary-value problem ⋮ Efficient numerical algorithms for close estimation of critical parameters and quenching times in singular parabolic problems

Cites Work

• 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
• Solution of a Thomas-Fermi problem using linear approximants
• A constructive solution for a generalized Thomas-Fermi theory of ionized atoms
• Computational methods for generalized Thomas-Fermi models of neutral atoms
• Constructive existence theorems for problems of Thomas‐Fermi Type
• On the Generalized Emden–Fowler Equation
• Monotone methods for the Thomas-Fermi equation
• A unified approach to the solution of certain classes of nonlinear boundary value problems using monotone iterations
• Numerical schemes for degenerate boundary value problems

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