Thumbnail Image
Publication

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

Morgado, Maria L.
; 
Rebelo, Magda S.
; 
Ferras, Luis L.
; 
Ford, Neville J.
Advisors
Editors
Other Contributors
Affiliation
Universidade de Tras-os-Montes e Alto Douro; Universidade NOVA de Lisboa; University of Minho; University of Chester
EPub Date
Publication Date
2016-11-09
Submitted Date
Collections
Mathematics
Show all metadata
Files
Thumbnail Image
Accepted manuscript .pdf
Adobe PDF, 3.27 MB
Other Titles
Abstract
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.
Citation
Morgado, M. L., Rebelo, M. S., Ferras, L. L., & Ford, N. J. (2017). Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method. Applied Numerical Mathematics, 114, 108-123. DOI: 10.1016/j.apnum.2016.11.001
Publisher
Elsevier
Journal
Applied Numerical Mathematics
Research Unit
URI
http://hdl.handle.net/10034/620241
DOI
10.1016/j.apnum.2016.11.001
PubMed ID
PubMed Central ID
Type
Article
Language
en
Description
Series/Report no.
ISSN
EISSN
1873-5460
ISBN
ISMN
Gov't Doc
Test Link
Sponsors
Additional Links
http://www.journals.elsevier.com/applied-numerical-mathematics/