A Chebyshev collocation method for solving the non-linear variable-order fractional Bagley-Torvik differential equation

• Type: Article in International Scientific Journal
• Date: 2022

Authors

Amin, AZ (Author) Other; António Mendes Lopes (Author) FEUP; Hashim, I (Author) Other

Journal

Title: International Journal of Nonlinear Sciences and Numerical Simulation

Vol. 0

ISSN: 1565-1339

Publisher: Walter De Gruyter

Indexing

ISI Web of Knowledge - 0 Citations

Scopus

Other information

Authenticus ID: P-00X-9HZ

DOI: 10.1515/ijnsns-2021-0395

Abstract (EN): A numerical approach based on the shifted Chebyshev-Gauss collocation method is proposed for solving the non-linear variable-order fractional Bagley-Torvik differential equation (VO-FBTE), subject to initial and boundary conditions. The shifted fractional Chebyshev-Gauss collocation points are used as interpolation nodes, and the solution of the VO-FBTE is approximated by a truncated series of the shifted Chebyshev polynomials. The residuals are calculated at the shifted fractional Chebyshev-Gauss quadrature points. The original VO-FBTE is converted into a system of algebraic equations. The accuracy of the proposed scheme is confirmed with a set of numerical examples, and the results are compared with those obtained by other methods.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 18