Shifted Jacobi spectral collocation method with convergence analysis for solving integro-differential equations and system of integro-differential equations-Reference-Cited by-同舟云学术

Shifted Jacobi spectral collocation method with convergence analysis for solving integro-differential equations and system of integro-differential equations

Published:2019-04-23 Issue:3 Volume:24 Page:332-352
ISSN:1392-5113
Container-title:Nonlinear Analysis: Modelling and Control
language:
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Author:

Doha Eid H.¹,Abdelkawy Mohamed A.²,Amin Ahmed Z.M.³,Baleanu Dumitru⁴

Affiliation:

1. Department of Mathematics, Faculty of Science, Cairo University

2. Department of Mathematics and Statistics, College of Science, Al-Imam Mohammad Ibn Saud Islamic University, Saudi Arabia; Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt

3. Department of Basic Science, Institute of Engineering, Canadian International College, Egypt

4. Department of Mathematics, Cankaya University, Turkey; Institute of Space Sciences, Romania

Abstract

This article addresses the solution of multi-dimensional integro-differential equations (IDEs) by means of the spectral collocation method and taking the advantage of the properties of shifted Jacobi polynomials. The applicability and accuracy of the present technique have been examined by the given numerical examples in this paper. By means of these numerical examples, we ensure that the present technique is simple and very accurate. Furthermore, an error analysis is performed to verify the correctness and feasibility of the proposed method when solving IDE.

Publisher

Vilnius University Press

Subject

Applied Mathematics,Analysis

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