Comparison of different numerical methods for the solution of the time-fractional reaction-diffusion equation with variable diffusion coefficient

Utilize este identificador para referenciar este registo: https://hdl.handle.net/1822/39268

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Campo DC	Valor	Idioma
dc.contributor.author	Morgado, M.L.	por
dc.contributor.author	Ferrás, Luís Jorge Lima	por
dc.contributor.author	Rebelo, M.	por
dc.date.accessioned	2016-01-07T12:05:18Z	-
dc.date.available	2016-01-07T12:05:18Z	-
dc.date.issued	2015	-
dc.identifier.isbn	978-84-617-2230-3	-
dc.identifier.uri	https://hdl.handle.net/1822/39268	-
dc.description.abstract	In this work we perform a comparison of two different numerical schemes for the solution of the time-fractional diffusion equation with variable diffusion coefficient and a nonlinear source term. The two methods are the implicit numerical scheme presented in [M.L. Morgado, M. Rebelo, Numerical approximation of distributed order reaction- diffusion equations, Journal of Computational and Applied Mathematics 275 (2015) 216-227] that is adapted to our type of equation, and a colocation method where Chebyshev polynomials are used to reduce the fractional differential equation to a system of ordinary differential equations	por
dc.description.sponsorship	COMPETE, FEDER and Fundação para a Ciência e a Tecnologia (the Portuguese Foundation for Science and Technology (FCT)) through Strategic Projects - LA 25 – 2013-2014, PTDC/EME- MFE/113988/2009 and EXPL/CTM-POL/1299/2013. M. Rebelo acknowledge financial funding by the Portuguese Foundation for Science and Technology through the project PEstOE/MAT/UI0297/2013 (Centro de Matemática e Aplicacões)	por
dc.language.iso	eng	por
dc.publisher	International Conference on Mathematical Methods in Science and Engineering (CMMSE)	por
dc.relation	info:eu-repo/grantAgreement/FCT/5876-PPCDTI/134324/PT	por
dc.relation	info:eu-repo/grantAgreement/FCT/5876-PPCDTI/113988/PT	-
dc.relation	info:eu-repo/grantAgreement/FCT/COMPETE/134324/PT	-
dc.relation	info:eu-repo/grantAgreement/FCT/5876/147204/PT	-
dc.rights	openAccess	por
dc.subject	Time-fractional diffusion equation	por
dc.subject	Caputo derivative	por
dc.subject	Chebyshev polynomials	por
dc.title	Comparison of different numerical methods for the solution of the time-fractional reaction-diffusion equation with variable diffusion coefficient	por
dc.type	conferencePaper	-
dc.peerreviewed	yes	por
dc.relation.publisherversion	http://cmmse.usal.es/cmmse2015/images/stories/congreso/Proceedings_CMMSE_2015.pdf	por
sdum.publicationstatus	published	por
oaire.citationConferenceDate	6 Jul. - 10 Jul. 2015	por
sdum.event.type	conference	por
oaire.citationStartPage	850	por
oaire.citationEndPage	858	por
oaire.citationConferencePlace	Rota, Cadiz - Spain	por
oaire.citationTitle	CMMSE 2015: 15th International Conference on Computational and Mathematical Methods in Science and Engineering	por
dc.subject.fos	Ciências Naturais::Matemáticas	por
sdum.conferencePublication	CMMSE 2015: 15th International Conference on Computational and Mathematical Methods in Science and Engineering	por
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