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

• Type: Article in International Scientific Journal
• Date: 2019

Authors

E. H. Doha (Author) Other; M. A. Abdelkawy (Author) Other; A. Z. M. Amin (Author) Other; António M. Lopes (Author) FEUP

Journal

Title: Communications in Nonlinear Science and Numerical Simulation

Vol. 72

Pages: 342-359

ISSN: 1007-5704

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 20 Citations

INSPEC

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 18