A Numerical Method for the Solution of the Time-Fractional Diffusion Equation

• Tipo: Artigo em Livro de Atas de Conferência Internacional
• Data: 2014

Autores

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

Ata de Conferência Internacional

Título: COMPUTATIONAL SCIENCE AND ITS APPLICATIONS - ICCSA 2014, PT 1

Páginas: 117-131

14th International Conference on Computational Science and Its Applications (ICCSA)

Guimaraes, PORTUGAL, JUN 30-JUL 03, 2014

Indexação

ISI Web of Knowledge - 8 Citações

Scopus - 9 Citações

Outras Informações

ID Authenticus: P-009-Q5C

DOI: 10.1007/978-3-319-09144-0_9

Abstract (EN): In this work we provide a new numerical scheme for the solution of the fractional sub-diffusion equation. This new scheme is based on a combination of a recently proposed non-polynomial collocation method for fractional ordinary differential equations and the method of lines. A comparison of the numerical results obtained with known analytical solutions is carried out, using different values of the order of the fractional derivative and several time and space stepsizes, and we conclude that, as in the fractional ordinary differential equation case, the convergence order of the method is independent of the order of the time derivative and does not decrease when dealing with certain nonsmooth solutions.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 15