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  • 标题:Numerical solution for the time-fractional Fokker–Planck equation via shifted Chebyshev polynomials of the fourth kind
  • 本地全文:下载
  • 作者:Haile Habenom ; D. L. Suthar
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2020
  • 卷号:2020
  • 期号:1
  • 页码:1-16
  • DOI:10.1186/s13662-020-02779-7
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This paper provides a numerical approach for solving the time-fractional Fokker–Planck equation (FFPE). The authors use the shifted Chebyshev collocation method and the finite difference method (FDM) to present the fractional Fokker–Planck equation into systems of nonlinear equations; the Newton–Raphson method is used to produce approximate results for the nonlinear systems. The results obtained from the FFPE demonstrate the simplicity and efficiency of the proposed method.
  • 关键词:Fractional Fokker–Planck equation;Caputo derivative;Shifted Chebyshev polynomials of the fourth kind;Finite difference method;
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