Retracted: The rational third-kind Chebyshev pseudospectral method for the solution of the Thomas-Fermi equation over infinite interval
type: Item
instance of: scholarly article
title: Retracted: The rational third-kind Chebyshev pseudospectral method for the solution of the Thomas-Fermi equation over infinite interval
zbMATH Open document ID: 1299.65168
DOI: 10.1155/2013/537810
author: Majid Tavassoli Kajani
author: Mohammad Maleki
author: Adem Kilicman
published in: Mathematical Problems in Engineering
publication date: 2014-11-24T00:00:00Z
review text: Summary: We propose a pseudospectral method for solving the Thomas-Fermi equation which is a nonlinear ordinary differential equation on semi-infinite interval. This approach is based on the rational third-kind Chebyshev pseudospectral method that is indeed a combination of Tau and collocation methods. This method reduces the solution of this problem to the solution of a system of algebraic equations. Comparison with some numerical solutions shows that the present solution is highly accurate. Editorial remark: This paper has been retracted as it was found to contain a substantial amount of material, without referencing, from [\textit{A. Kılıçman} et al., J. Comput. Appl. Math. 257, 79--85 (2014; Zbl 1294.65080)] and [\textit{K. Parand} and \textit{M. Shahini}, Phys. Lett., A 373, No. 2, 210--213 (2009; Zbl 1227.49050)].
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 41A55
zbMATH DE Number: 6372482
Wikidata QID: Q59026383
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/537810
OpenAlex ID: W2130417219
cites work: Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval
cites work: Q4423181
cites work: Stable and Efficient Spectral Methods in Unbounded Domains Using Laguerre Functions
cites work: Q3742104
cites work: Chebyshev and Fourier spectral methods.
cites work: Q4951037
cites work: Orthogonal rational functions on a semi-infinite interval
cites work: A rational approximation and its applications to differential equations on the half line
cites work: Pseudospectral methods on a semi-infinite interval with application to the hydrogen atom: A comparison of the mapped Fourier-sine method with Laguerre series and rational Chebyshev expansions
cites work: Rational Legendre Approximation for Solving some Physical Problems on Semi-Infinite Intervals
cites work: A practical preconditioner for sparse banded linear systems
cites work: Rational Chebyshev tau method for solving Volterra's population model.
cites work: Q3292729
cites work: Q3244064
cites work: A new perturbative approach to nonlinear problems
cites work: A perturbative approach to the Thomas–Fermi equation in terms of the density
cites work: An analytic solution to the Thomas–Fermi equation
cites work: Solution of the Thomas-Fermi equation
cites work: The modified decomposition method and Padé approximants for solving the Thomas-Fermi equation
cites work: An explicit analytic solution to the Thomas-Fermi equation.
cites work: Series solution to the Thomas-Fermi equation
cites work: Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs
cites work: Piecewise quasilinearization techniques for singular boundary-value problems
cites work: Rational Chebyshev series for the Thomas-Fermi function: endpoint singularities and spectral methods
cites work: A series solution to the Thomas-Fermi equation
cites work: Beyond Perturbation
cites work: Interpolatory quadrature formulae with Chebyshev abscissae of the third or fourth kind
cites work: Q3331506
cites work: The optimization of convergence for Chebyshev polynomial methods in an unbounded domain
description: scientific article; zbMATH DE number 6372482