An efficient numerical method for solving nonlinear Thomas-Fermi equation

Article Properties
  • Language
    English
  • DOI (url)
    10.2478/ausm-2018-0012
  • Publication Date
    2018/08/01
  • Journal
    Acta Universitatis Sapientiae, Mathematica
  • Indian UGC (journal)
  • Refrences
    74
  • Citations
    4
  • Kourosh Parand Department of Computer Sciences, Department of Cognitive Modelling, Institute for Cognitive and Brain Sciences , Shahid Beheshti University , Iran
  • Kobra Rabiei Department of Computer Sciences , Shahid Beheshti University , Iran
  • Mehdi Delkhosh Department of Computer Sciences , Shahid Beheshti University , Iran
Abstract
Cite
Parand, Kourosh, et al. “An Efficient Numerical Method for Solving Nonlinear Thomas-Fermi Equation”. Acta Universitatis Sapientiae, Mathematica, vol. 10, no. 1, 2018, pp. 134-51, https://doi.org/10.2478/ausm-2018-0012.
Parand, K., Rabiei, K., & Delkhosh, M. (2018). An efficient numerical method for solving nonlinear Thomas-Fermi equation. Acta Universitatis Sapientiae, Mathematica, 10(1), 134-151. https://doi.org/10.2478/ausm-2018-0012
Parand K, Rabiei K, Delkhosh M. An efficient numerical method for solving nonlinear Thomas-Fermi equation. Acta Universitatis Sapientiae, Mathematica. 2018;10(1):134-51.
Journal Category
Science
Mathematics
Refrences
Title Journal Journal Categories Citations Publication Date
Solving non-linear Lane–Emden type equations using Bessel orthogonal functions collocation method Celestial Mechanics and Dynamical Astronomy
  • Science: Astronomy
  • Science: Mathematics
  • Science: Astronomy
  • Science: Astronomy
 25 2013
New numerical solutions for solving Kidder equation by using the rational Jacobi functions SeMA Journal 13 2017
Numerical pricing of American options under two stochastic factor models with jumps using a meshless local Petrov–Galerkin method Applied Numerical Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 19 2017
New Numerical Solution For Solving Nonlinear Singular Thomas-Fermi Differential Equation Bulletin of the Belgian Mathematical Society - Simon Stevin
  • Science: Mathematics
 4 2017
Accurate solution of the Thomas–Fermi equation using the fractional order of rational Chebyshev functions Journal of Computational and Applied Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 48 2017
Citations
Title Journal Journal Categories Citations Publication Date
Generalized Thomas-Fermi equation: existence, uniqueness, and analytic approximation solutions

 AIMS Mathematics 2 2023
Approximate Solution of the Thomas–Fermi Equation for Free Positive Ions

 Atoms
  • Science: Physics: Nuclear and particle physics. Atomic energy. Radioactivity
  • Science: Physics: Atomic physics. Constitution and properties of matter
 4 2021
The novel Leal-polynomials for the multi-expansive approximation of nonlinear differential equations Heliyon 2 2020
Exploring the Novel Continuum-Cancellation Leal-Method for the Approximate Solution of Nonlinear Differential Equations

 Discrete Dynamics in Nature and Society
  • Science: Mathematics
  • Science: Mathematics
  • Science: Science (General)
 1 2020
Citations Analysis
Category Category Repetition
Science: Physics: Nuclear and particle physics. Atomic energy. Radioactivity1
Science: Physics: Atomic physics. Constitution and properties of matter1
Science: Mathematics1
Science: Science (General)1
The category Science: Physics: Nuclear and particle physics. Atomic energy. Radioactivity 1 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Exploring the Novel Continuum-Cancellation Leal-Method for the Approximate Solution of Nonlinear Differential Equations and was published in 2020. The most recent citation comes from a 2023 study titled Generalized Thomas-Fermi equation: existence, uniqueness, and analytic approximation solutions. This article reached its peak citation in 2020, with 2 citations. It has been cited in 4 different journals, 50% of which are open access. Among related journals, the AIMS Mathematics cited this research the most, with 1 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year