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  • 标题:Numerical solution of fractional-order Riccati differential equation by differential quadrature method based on Chebyshev polynomials
  • 本地全文:下载
  • 作者:Jianhua Hou ; Changqing Yang
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2017
  • 卷号:2017
  • 期号:1
  • 页码:365
  • DOI:10.1186/s13662-017-1409-6
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We apply the Chebyshev polynomial-based differential quadrature method to the solution of a fractional-order Riccati differential equation. The fractional derivative is described in the Caputo sense. We derive and utilize explicit expressions of weighting coefficients for approximation of fractional derivatives to reduce a Riccati differential equation to a system of algebraic equations. We present numerical examples to verify the efficiency and accuracy of the proposed method. The results reveal that the method is accurate and easy to implement.
  • 关键词:Differential quadrature ; Riccati differential equation ; Chebyshev polynomial ; Caputo derivative
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