High-Order Methods for Systems of Fractional Ordinary Differential Equations and Their Application to Time-Fractional Diffusion Equations

• Tipo: Artigo em Revista Científica Internacional
• Data: 2021

Autores

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

Revista

Título: Mathematics in Computer Science

Vol. 15 Nº 1

Páginas: 535-551

ISSN: 1661-8270

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 5 Citações

Scopus - 3 Citações

Outras Informações

ID Authenticus: P-00R-NNV

DOI: 10.1007/s11786-019-00448-x

Abstract (EN): Taking into account the regularity properties of the solutions of fractional differential equations, we develop a numerical method which is able to deal, with the same accuracy, with both smooth and nonsmooth solutions of systems of fractional ordinary differential equations of the Caputo-type. We provide the error analysis of the numerical method and we illustrate its feasibility and accuracy through some numerical examples. Finally, we solve the time-fractional diffusion equation using a combination of the method of lines and the newly developed hybrid method.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 17