Jacobi Collocation Approximation for Solving Multi-dimensional Volterra Integral Equations-Reference-Cited by-同舟云学术

Jacobi Collocation Approximation for Solving Multi-dimensional Volterra Integral Equations

Published:2017-07-26 Issue:5 Volume:18 Page:411-425
ISSN:1565-1339
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:
Short-container-title:

Author:

Abdelkawy Mohamed A.¹,Amin Ahmed Z. M.²,Bhrawy Ali H.³,Tenreiro Machado José A.⁴,Lopes António M.⁵

Affiliation:

1. Department of Mathematics and Statistics, College of Science, Al-Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia

2. Department of Basic Science, Institute of Engineering, Canadian International College (CIC), Giza, Egypt

3. Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt

4. Department of Electrical Engineering, Institute of Engineering, Polytechnic of Porto, Porto, Portugal

5. UISPA – LAETA/INEGI, Faculty of Engineering, University of Porto, Porto, Portugal

Abstract

AbstractThis paper addresses the solution of one- and two-dimensional Volterra integral equations (VIEs) by means of the spectral collocation method. The novel technique takes advantage of the properties of shifted Jacobi polynomials and is applied for solving multi-dimensional VIEs. Several numerical examples demonstrate the efficiency of the method and an error analysis verifies the correctness and feasibility of the proposed method when solving VIE.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2016-0160/pdf

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