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

• Type: Article in International Scientific Journal
• Date: 2017

Authors

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

Journal

Title: Applied Numerical Mathematics

Vol. 114

Pages: 108-123

ISSN: 0168-9274

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 48 Citations

Scopus - 50 Citations

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 16