Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/66733
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Campo DC | Valor | Idioma |
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dc.contributor.author | Ferrás, Luís Jorge Lima | por |
dc.contributor.author | Ford, Neville | por |
dc.contributor.author | Morgado, Maria Luisa | por |
dc.contributor.author | Rebelo, Magda | por |
dc.date.accessioned | 2020-09-04T09:46:19Z | - |
dc.date.available | 2020-09-04T09:46:19Z | - |
dc.date.issued | 2021 | - |
dc.identifier.citation | Ferrás, L. L., Ford, N., Morgado, M. L., & Rebelo, M. (2020, January 16). High-Order Methods for Systems of Fractional Ordinary Differential Equations and Their Application to Time-Fractional Diffusion Equations. Mathematics in Computer Science. Springer Science and Business Media LLC. http://doi.org/10.1007/s11786-019-00448-x | - |
dc.identifier.issn | 1661-8270 | por |
dc.identifier.uri | https://hdl.handle.net/1822/66733 | - |
dc.description.abstract | Taking into account the regularity properties of the solutions of fractional differential equations, we develop a numerical method which is able to deal, with the same accuracy, with both smooth and nonsmooth solutions of systems of fractional ordinary differential equations of the Caputo-type. We provide the error analysis of the numerical method and we illustrate its feasibility and accuracy through some numerical examples. Finally, we solve the time-fractional diffusion equation using a combination of the method of lines and the newly developed hybrid method. | por |
dc.description.sponsorship | L.L. Ferras would like to thank FCT - Fundacao para a Ciencia e a Tecnologia, I.P. (Portuguese Foundation for Science and Technology) for financial support through the scholarship SFRH/BPD/100353/2014 and Project UID-MAT-00013/2013. M.L. Morgado aknowledges the financial support of FCT, through the Project UID/Multi/04621/2019 of CEMAT/IST-ID, Center for Computational and Stochastic Mathematics, Instituto Superior Tecnico, University of Lisbon. This work was also partially supported by FCT through the Project UID/MAT/00297/2019 (Centro de Matematica e Aplicacoes). | por |
dc.language.iso | eng | por |
dc.publisher | Springer | por |
dc.relation | info:eu-repo/grantAgreement/FCT/FARH/SFRH%2FBPD%2F100353%2F2014/PT | por |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147370/PT | por |
dc.relation | UID/MAT/00297/2019 | por |
dc.rights | openAccess | por |
dc.subject | Fractional diffusion | por |
dc.subject | Caputo derivative | por |
dc.subject | Nonpolynomial collocation method | por |
dc.subject | Polynomial collocation method | por |
dc.subject | Method of lines | por |
dc.title | High-order methods for systems of fractional ordinary differential equations and their application to time-fractional diffusion equations | por |
dc.type | article | - |
dc.peerreviewed | yes | por |
dc.relation.publisherversion | https://link.springer.com/article/10.1007%2Fs11786-019-00448-x | por |
oaire.citationStartPage | 535 | por |
oaire.citationEndPage | 551 | por |
oaire.citationIssue | 4 | por |
oaire.citationVolume | 15 | por |
dc.date.updated | 2020-07-17T16:57:14Z | - |
dc.identifier.doi | 10.1007/s11786-019-00448-x | por |
dc.subject.fos | Ciências Naturais::Matemáticas | por |
dc.subject.wos | Science & Technology | - |
sdum.export.identifier | 5643 | - |
sdum.journal | Mathematics in Computer Science | por |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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Ferrás2020_Article_High-OrderMethodsForSystemsOfF.pdf | 292,29 kB | Adobe PDF | Ver/Abrir |