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A new numerical technique for solving the local fractional diffusion equation: Two-dimensional extended differential transform approach

dc.contributor.authorYang, Xiao-Jun
dc.contributor.authorMachado, J. A. Tenreiro
dc.contributor.authorSrivastava, H.M.
dc.date.accessioned2017-01-25T14:41:53Z
dc.date.embargo2117
dc.date.issued2015
dc.description.abstractn this article, we first propose a new numerical technique based upon a certain two-dimensional extended differential transform via local fractional derivatives and derive its as-sociated basic theorems and properties. One example of testing the local fractional diffusion equation is then considered. The numerical result presented here illustrates the efficiency and accuracy of the proposed computational technique in order to solve the partial differential equations involving local fractional derivatives.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doihttp://dx.doi.org/10.1016/j.amc.2015.10.072pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.22/9402
dc.language.isoengpt_PT
dc.publisherElsevierpt_PT
dc.relation.ispartofseriesApplied Mathematics and Computation;Vol. 274
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S009630031501423Xpt_PT
dc.subjectNumerical solutionpt_PT
dc.subjectExtended differential transform methodpt_PT
dc.subjectDiffusion equationpt_PT
dc.subjectLocal fractional derivativespt_PT
dc.subjectPartial differential equationspt_PT
dc.titleA new numerical technique for solving the local fractional diffusion equation: Two-dimensional extended differential transform approachpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage151pt_PT
oaire.citation.startPage143pt_PT
oaire.citation.titleApplied Mathematics and Computationpt_PT
oaire.citation.volume274pt_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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