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

• Type: Article in International Scientific Journal
• Date: 2021

Authors

Ferras, LL (Author) FEUP; Ford, N (Author) Other; Morgado, ML (Author) Other; Rebelo, M (Author) Other

Journal

Title: Mathematics in Computer Science

Vol. 15 No. 1

Pages: 535-551

ISSN: 1661-8270

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 5 Citations

Scopus - 3 Citations

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 17