The Finite Difference Methods for Fractional Ordinary Differential Equations

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Li, Changpin, and Fanhai Zeng. “The Finite Difference Methods for Fractional Ordinary Differential Equations”. Numerical Functional Analysis and Optimization, vol. 34, no. 2, 2013, pp. 149-7, https://doi.org/10.1080/01630563.2012.706673.
Li, C., & Zeng, F. (2013). The Finite Difference Methods for Fractional Ordinary Differential Equations. Numerical Functional Analysis and Optimization, 34(2), 149-179. https://doi.org/10.1080/01630563.2012.706673
Li, Changpin, and Fanhai Zeng. “The Finite Difference Methods for Fractional Ordinary Differential Equations”. Numerical Functional Analysis and Optimization 34, no. 2 (2013): 149-79. https://doi.org/10.1080/01630563.2012.706673.
Li C, Zeng F. The Finite Difference Methods for Fractional Ordinary Differential Equations. Numerical Functional Analysis and Optimization. 2013;34(2):149-7.
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Refrences
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Numerical approaches to fractional calculus and fractional ordinary differential equation Journal of Computational Physics
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  • Science: Physics
 162 2011
Explicit methods for fractional differential equations and their stability properties Journal of Computational and Applied Mathematics
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On the fractional Adams method Computers & Mathematics with Applications
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
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Numerical algorithm for the time fractional Fokker–Planck equation Journal of Computational Physics
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Science: Mathematics
  • Science: Physics
 194 2007
Fractional high order methods for the nonlinear fractional ordinary differential equation Nonlinear Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
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 56 2007
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Citations Analysis
Category Category Repetition
Science: Mathematics97
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods57
Technology: Engineering (General). Civil engineering (General)37
Science: Physics30
Science: Mathematics: Instruments and machines: Electronic computers. Computer science14
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics13
Technology: Mechanical engineering and machinery12
Science: Science (General)12
Technology: Technology (General): Industrial engineering. Management engineering6
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software5
Science: Physics: Heat: Thermodynamics4
Science: Chemistry4
Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials4
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics4
Technology: Chemical technology3
Medicine2
Science2
Science: Biology (General)2
Science: Mathematics: Analysis2
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks2
Science: Chemistry: Organic chemistry1
Science: Chemistry: General. Including alchemy1
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware1
Social Sciences: Finance1
Social Sciences: Statistics1
Social Sciences: Economic theory. Demography: Economics as a science1
Social Sciences: Commerce: Business1
Technology: Manufactures: Production management. Operations management1
Science: Mathematics: Instruments and machines1
Bibliography. Library science. Information resources1
Medicine: Medicine (General): Computer applications to medicine. Medical informatics1
The category Science: Mathematics 97 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation and was published in 2013. The most recent citation comes from a 2024 study titled Fractional-order pro-tumor and anti-tumor macrophages model: Dynamical analysis and optimal control. This article reached its peak citation in 2022, with 25 citations. It has been cited in 83 different journals, 18% of which are open access. Among related journals, the Chaos, Solitons & Fractals cited this research the most, with 10 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year