Legendre-Gauss-Lobatto collocation method for solving multi-dimensional systems of mixed Volterra-Fredholm integral equations

• Type: Article in International Scientific Journal
• Date: 2023

Authors

Amin, AZ (Author) Other; Abdelkawy, MA (Author) Other; Amin, AK (Author) Other; António Mendes Lopes (Author) FEUP; Alluhaybi, AA (Author) Other; Hashim, I (Author) Other

Journal

The Journal is awaiting validation by the Administrative Services.

Title: AIMS MATHEMATICS

Vol. 8

ISSN: 2473-6988

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 1 Citation

Other information

Authenticus ID: P-00Y-R0Q

DOI: 10.3934/math.20231063

Abstract (EN): Integral equations play a crucial role in many scientific and engineering problems, though solving them is often challenging. This paper addresses the solution of multi-dimensional systems of mixed Volterra-Fredholm integral equations (SMVF-IEs) by means of a Legendre-Gauss-Lobatto collocation method. The one-dimensional case is addressed first. Afterwards, the method is extended to two-dimensional linear and nonlinear SMVF-IEs. Several numerical examples reveal the effectiveness of the approach and show its superiority in comparison to other alternative techniques for treating SMVF-IEs.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 21