An adaptive algorithm for the Thomas-Fermi equation

DOI10.1007/s11075-011-9494-1zbMath1236.65094OpenAlexW2009501903MaRDI QIDQ664604

Shengfeng Zhu, Hancan Zhu, Qing-Biao Wu, Yasir Khan

Publication date: 2 March 2012

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-011-9494-1

zbMATH Keywords

algorithmnumerical resultsequidistributionadaptive finite element methodmoving mesh methodfree boundary value problemThomas-Fermi equationsemi-infinite interval

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (8)

Well-posed initial conditions and numerical methods for one-dimensional models of liquid dynamics in a horizontal capillary ⋮ A hybrid augmented compact finite volume method for the Thomas-Fermi equation ⋮ Constructing two powerful methods to solve the Thomas-Fermi equation ⋮ An efficient numerical method for solving nonlinear Thomas-Fermi equation ⋮ Accurate solution of the Thomas-Fermi equation using the fractional order of rational Chebyshev functions ⋮ On the rational second kind Chebyshev pseudospectral method for the solution of the Thomas-Fermi equation over an infinite interval ⋮ Laguerre pseudospectral approximation to the Thomas-Fermi equation ⋮ Numerical Solution of Falkner-Skan Equation by Iterative Transformation Method

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