Jacobi Collocation Approximation for Solving Multi-dimensional Volterra Integral Equations

• Tipo: Artigo em Revista Científica Internacional
• Data: 2017

Autores

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

Revista

Título: International Journal of Nonlinear Sciences and Numerical Simulation

Vol. 18 Nº 5

Páginas: 411-425

ISSN: 1565-1339

Editora: Walter De Gruyter

Indexação

ISI Web of Knowledge - 26 Citações

ISI Web of Science

Scopus - 30 Citações

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 15