Numerical solution of the Bagley–Torvik equation using shifted Chebyshev operational matrix

Numerical solution of the Bagley–Torvik equation using shifted Chebyshev operational matrix

Abstract In this study, an efficient numerical scheme based on shifted Chebyshev polynomials is established to obtain numerical solutions of the Bagley–Torvik equation. We first derive the shifted Chebyshev operational matrix of fractional derivative. Then, by the use of these operational matrices,...

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Bibliographic Details
Main Authors: Tianfu Ji, Jianhua Hou, Changqing Yang
Format: Article
Language:English
Published: SpringerOpen 2020-11-01
Series:Advances in Difference Equations
Subjects:
Bagley–Torvik equation
Chebyshev polynomials
Collocation method
Liouville–Caputo derivative
Online Access:http://link.springer.com/article/10.1186/s13662-020-03110-0

Internet

http://link.springer.com/article/10.1186/s13662-020-03110-0

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