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

E H Doha; M A Abdelkawy; AZM Amin; António Lopes

doi:10.1016/j.cnsns.2019.01.005

Back

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

Journal article

Peer reviewed

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

E H Doha, M A Abdelkawy, AZM Amin and António Lopes

Communications in nonlinear science & numerical simulation, Vol.72, pp.342-359

30/06/2019

DOI: https://doi.org/10.1016/j.cnsns.2019.01.005

Abstract

Algorithms

Boundary conditions

Collocation

Convergence

Differential equations

Differential thermal analysis

Error analysis

Mathematical analysis

Nonlinear equations

Normal distribution

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.

Metrics

1 Record Views

Details

Title: Shifted Jacobi–Gauss-collocation with convergence analysis for fractional integro-differential equations
Creators - without role: E H Doha - Cairo University
M A Abdelkawy - Imam Mohammad ibn Saud Islamic University
AZM Amin
António Lopes
Publication Details: Communications in nonlinear science & numerical simulation, Vol.72, pp.342-359
Publisher: Elsevier Science Ltd
Identifiers: 9916679208331
Academic Unit: Imam Mohammad Ibn Saud Islamic University (IMSIU)
Language: English
Resource Type: Journal article