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

Advances in Difference Equations

Jianhua Hou¹  Changqing Yang¹ 

[1] Department of Science, Huaihai Institute of Technology, Lianyungang, China

关键词: Differential quadrature;    Riccati differential equation;    Chebyshev polynomial;    Caputo derivative;   

DOI  :  10.1186/s13662-017-1409-6

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY