文章基本信息

标题：Numerical solution of fractional-order Riccati differential equation by differential quadrature method based on Chebyshev polynomials
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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