Shifted Jacobi-Gauss-collocation with convergence analysis for fractional integro-differential equations

• Tipo: Artigo em Revista Científica Internacional
• Data: 2019

Autores

E. H. Doha (Autor) Outra; M. A. Abdelkawy (Autor) Outra; A. Z. M. Amin (Autor) Outra; António M. Lopes (Autor) FEUP

Revista

Título: Communications in Nonlinear Science and Numerical Simulation

Vol. 72

Páginas: 342-359

ISSN: 1007-5704

Editora: Elsevier

Indexação

ISI Web of Knowledge - 0 Citações

Scopus - 20 Citações

INSPEC

Outras Informações

ID Authenticus: P-00Q-3Z1

DOI: 10.1016/j.cnsns.2019.01.005

Abstract (EN): A new shifted Jacobi-Gauss-collocation (SJ-G-C) algorithm is presented for solving numerically several classes of fractional integro-differential equations (FI-DEs), namely Volterra, Fredholm and systems of Volterra FI-DEs, subject to initial and nonlocal boundary conditions. The new SJ-G-C method is also extended for calculating the solution of mixed Volterra-Fredholm FI-DEs. The shifted Jacobi-Gauss points are adopted for collocation nodes and the FI-DEs are reduced to systems of algebraic equations. Error analysis is performed and several numerical examples are given for illustrating the advantages of the new algorithm.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 18