Jacobi Collocation Approximation for Solving Multi-dimensional Volterra Integral Equations

• Type: Article in International Scientific Journal
• Date: 2017

Authors

Mohamed Abdelkawy (Author) Other; Ahmed Amin (Author) Other; Ali Bhrawy (Author) Other; José Tenreiro Machado (Author) Other; António Mendes Lopes (Author) FEUP

Journal

Title: International Journal of Nonlinear Sciences and Numerical Simulation

Vol. 18 No. 5

Pages: 411-425

ISSN: 1565-1339

Publisher: Walter De Gruyter

Indexing

ISI Web of Knowledge - 26 Citations

ISI Web of Science

Scopus - 30 Citations

Other information

Authenticus ID: P-00N-WDT

DOI: 10.1515/ijnsns-2016-0160

Abstract (EN): This 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 15