Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method

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

Autores

Morgado, ML (Autor) Outra; Rebelo, M (Autor) Outra; Ferras, LL (Autor) Outra; Ford, NJ (Autor) Outra

Revista

Título: Applied Numerical Mathematics

Vol. 114

Páginas: 108-123

ISSN: 0168-9274

Editora: Elsevier

Indexação

ISI Web of Knowledge - 48 Citações

Scopus - 50 Citações

Outras Informações

ID Authenticus: P-00M-H95

DOI: 10.1016/j.apnum.2016.11.001

Abstract (EN): In this work we present a new numerical method for the solution of the distributed order time-fractional diffusion equation. The method is based on the approximation of the solution by a double Chebyshev truncated series, and the subsequent collocation of the resulting discretised system of equations at suitable collocation points. An error analysis is provided and a comparison with other methods used in the solution of this type of equation is also performed.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 16