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

• Tipo: Artigo em Revista Científica Internacional
• Data: 2022

Autores

Amin, AZ (Autor) Outra; António Mendes Lopes (Autor) FEUP; Hashim, I (Autor) Outra

Revista

Título: International Journal of Nonlinear Sciences and Numerical Simulation

Vol. 0

ISSN: 1565-1339

Editora: Walter De Gruyter

Indexação

ISI Web of Knowledge - 0 Citações

Scopus

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 18