A space-time spectral approximation for solving nonlinear variable-order fractional sine and Klein-Gordon differential equations

• Tipo: Artigo em Revista Científica Internacional
• Data: 2018

Autores

E. H. Doha (Autor) Outra; M. A. Abdelkawy (Autor) Outra; A. Z. M. Amin (Autor) Outra; António M. Lopes (Autor) FEUP

Revista

Título: COMPUTATIONAL & APPLIED MATHEMATICS

Vol. 37 Nº 5

Páginas: 6212-6229

ISSN: 1807-0302

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 0 Citações

ISI Web of Science

Scopus - 7 Citações

Outras Informações

ID Authenticus: P-00P-WGE

DOI: 10.1007/s40314-018-0695-2

Abstract (EN): In this paper, we propose an efficient spectral numerical method for solving sine and Klein-Gordon nonlinear variable-order fractional differential equations with the initial and Dirichlet boundary conditions. The approach is based on the shifted Legendre-Gauss and Chebyshev-Gauss collocation methods. The Caputo fractional derivative of variable order is adopted, and the original problems are reduced to systems of algebraic equations. The validity and effectiveness of the method is demonstrated by means of several numerical examples.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 18