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

• Tipo: Artigo em Revista Científica Internacional
• Data: 2023

Autores

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

Revista

A Revista está pendente de validação pelos Serviços Administrativos.

Título: AIMS MATHEMATICS

Vol. 8

ISSN: 2473-6988

Indexação

ISI Web of Knowledge - 1 Citação

Scopus - 1 Citação

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 21