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Extended Algorithms for Approximating Variable Order Fractional Derivatives with Applications

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dc.contributor.authorMoghaddam, Behrouz Parsa
dc.contributor.authorMachado, J. A. Tenreiro
dc.date.accessioned2017-01-26T14:23:10Z
dc.date.embargo2117-12
dc.date.issued2016
dc.description.abstractThis paper proposes accurate and robust algorithms for approximating variable order fractional derivatives of arbitrary order. The proposed schemes are based on finite difference approximations.We compare the performance of algorithms by introducing a new formulation of experimental convergence order. Two initial value problems are considered and solved by means of the proposed methods. Numerical results are provided justifying the usefulness of the proposed methods.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1007/s10915-016-0343-1pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.22/9441
dc.language.isoengpt_PT
dc.publisherSpringer Verlagpt_PT
dc.relation.ispartofseriesJournal of Scientific Computing;
dc.relation.publisherversionhttp://link.springer.com/article/10.1007/s10915-016-0343-1pt_PT
dc.subjectVariable order fractional calculuspt_PT
dc.subjectFinite difference approximationpt_PT
dc.subjectConvergence orderpt_PT
dc.subjectNumerical methodpt_PT
dc.titleExtended Algorithms for Approximating Variable Order Fractional Derivatives with Applicationspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage24pt_PT
oaire.citation.startPage1pt_PT
oaire.citation.titleJournal of Scientific Computingpt_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.rightsclosedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication82cd5c17-07b6-492b-b3e3-ecebdad1254f
relation.isAuthorOfPublication.latestForDiscovery82cd5c17-07b6-492b-b3e3-ecebdad1254f

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