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Analysis of dual Bernstein operators in the solution of the fractional convection–diffusion equation arising in underground water pollution

2022Journal article Embargoed access
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dc.contributor.authorSayevand, K.
dc.contributor.authorMachado, J. A. Tenreiro
dc.contributor.authorMasti, I.
dc.date.accessioned2021-09-29T14:02:07Z
dc.date.embargo2032-12
dc.date.issued2022
dc.description.abstractThe Bernstein operators (BO) are not orthogonal, but they have duals, which are obtained by a linear combination of BO. In recent years dual BO have been adopted in computer graphics, computer aided geometric design, and numerical analysis. This paper presents a numerical method based on the Bernstein operational matrices to solve the time–space fractional convection–diffusion equation. A generalization of the derivative matrix operator of fractional order and the error analysis are discussed. Numerical examples compare the proposed approach with previous works, showing that the method is more accurate and efficient.pt_PT
dc.description.sponsorshipThe authors wish to express their cordial thanks to the editor and three anonymous referees for useful suggestions and comments.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1016/j.cam.2021.113729pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.22/18625
dc.language.isoengpt_PT
dc.publisherElsevierpt_PT
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0377042721003514pt_PT
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/pt_PT
dc.subjectDual Bernstein operatorspt_PT
dc.subjectFractional convection–diffusion equationpt_PT
dc.subjectError analysispt_PT
dc.subjectOperational matrixpt_PT
dc.titleAnalysis of dual Bernstein operators in the solution of the fractional convection–diffusion equation arising in underground water pollutionpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.startPage113729pt_PT
oaire.citation.titleJournal of Computational and Applied Mathematicspt_PT
oaire.citation.volume399pt_PT
person.familyNameTenreiro Machado
person.givenNameJ. A.
person.identifier.ciencia-id7A18-4935-5B29
person.identifier.orcid0000-0003-4274-4879
person.identifier.ridM-2173-2013
person.identifier.scopus-author-id55989030100
rcaap.rightsembargoedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication82cd5c17-07b6-492b-b3e3-ecebdad1254f
relation.isAuthorOfPublication.latestForDiscovery82cd5c17-07b6-492b-b3e3-ecebdad1254f

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