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.

dc.contributor.author	Morgado, Maria L.	*
dc.contributor.author	Rebelo, Magda S.	*
dc.contributor.author	Ferras, Luis L.	*
dc.contributor.author	Ford, Neville J.	*
dc.date.accessioned	2016-11-04T10:33:14Z
dc.date.available	2016-11-04T10:33:14Z
dc.date.issued	2016-11-09
dc.identifier.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	en
dc.identifier.doi	10.1016/j.apnum.2016.11.001
dc.identifier.uri	http://hdl.handle.net/10034/620241
dc.description.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.
dc.language.iso	en	en
dc.publisher	Elsevier	en
dc.relation.url	http://www.journals.elsevier.com/applied-numerical-mathematics/	en
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	en
dc.subject	Distributed order differential equations	en
dc.subject	Fractional differential equations	en
dc.subject	Chebyshev method	en
dc.title	Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method	en
dc.type	Article	en
dc.identifier.eissn	1873-5460
dc.contributor.department	Universidade de Tras-os-Montes e Alto Douro; Universidade NOVA de Lisboa; University of Minho; University of Chester	en
dc.identifier.journal	Applied Numerical Mathematics
dc.date.accepted	2016-11-02
or.grant.openaccess	Yes	en
rioxxterms.funder	Unfunded	en
rioxxterms.identifier.project	Unfunded	en
rioxxterms.version	AM	en
rioxxterms.licenseref.startdate	2017-11-10
html.description.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.
rioxxterms.publicationdate	2016-11-09