Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method
Name:
Publisher version
View Source
Access full-text PDFOpen Access
View Source
Check access options
Check access options
Name:
Revised Manuscript 30October.pdf
Size:
3.271Mb
Format:
PDF
Request:
Accepted manuscript .pdf
Affiliation
Universidade de Tras-os-Montes e Alto Douro; Universidade NOVA de Lisboa; University of Minho; University of ChesterPublication Date
2016-11-09
Metadata
Show full item recordAbstract
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.2016.11.001Publisher
ElsevierJournal
Applied Numerical MathematicsAdditional Links
http://www.journals.elsevier.com/applied-numerical-mathematics/Type
ArticleLanguage
enEISSN
1873-5460ae974a485f413a2113503eed53cd6c53
10.1016/j.apnum.2016.11.001
Scopus Count
Collections
The following license files are associated with this item:
- Creative Commons
Except where otherwise noted, this item's license is described as http://creativecommons.org/licenses/by-nc-nd/4.0/