The improved homotopy analysis method for the Thomas-Fermi equation

DOI10.1016/j.amc.2012.02.004zbMath1245.65099OpenAlexW1994371245MaRDI QIDQ440720

Zhiliang Lin, Zeng Liu, Yin-Long Zhao, Shi-Jun Liao

Publication date: 19 August 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.02.004

zbMATH Keywords

singularitynonlinearhomotopy analysis methodThomas-Fermi equation

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (8)

On the solutions of fractional Swift Hohenberg equation with dispersion ⋮ A hybrid augmented compact finite volume method for the Thomas-Fermi equation ⋮ MHD natural convection flow past an impulsively started infinite vertical porous plate with Newtonian heating in the presence of radiation ⋮ 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 ⋮ Neuro-optimized numerical treatment of HIV infection model ⋮ An adaptation of homotopy analysis method for reliable treatment of strongly nonlinear problems: construction of homotopy polynomials ⋮ Spectral method for solving the nonlinear Thomas-Fermi equation based on exponential functions

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