A computational approach for the non-smooth solution of non-linear weakly singular Volterra integral equation with proportional delay

• Tipo: Artigo em Revista Científica Internacional
• Data: 2019

Autores

P. Mokhtary (Autor) Outra; B. P. Moghaddam (Autor) Outra; António M. Lopes (Autor) FEUP; J. A. Tenreiro Machado (Autor) Outra

Revista

Título: Numerical Algorithms

Vol. 83 Nº 3

Páginas: 987-1006

ISSN: 1017-1398

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 0 Citações

ISI Web of Science

Scopus - 7 Citações

Outras Informações

ID Authenticus: P-00Q-KEH

DOI: 10.1007/s11075-019-00712-y

Abstract (EN): This paper develops a well-conditioned Jacobi spectral Galerkin method for the analysis of Volterra-Hammerstein integral equations with weakly singular kernels and proportional delay. A recursive formula reduces the computational load when approximating the solutions of badly conditioned and complex non-linear algebraic systems. Additionally, the convergence properties of the method are also investigated. The spectral accuracy is obtained regardless of the discontinuities in the derivatives solution. Three examples illustrate the performance of the new approach. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 20