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dc.contributor.authorFord, Neville J.*
dc.contributor.authorMorgado, Maria L.*
dc.contributor.authorRebelo, Magda S.*
dc.date.accessioned2016-01-20T19:18:03Z
dc.date.available2016-01-20T19:18:03Z
dc.date.issued2015-06-10
dc.identifier.citationFord, N. J., Morgado, M. L., & Rebelo, M. S. (2015). An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time. Electronic Transactions on Numerical Analysis, 44, 289-305.en
dc.identifier.issn1068–9613en
dc.identifier.urihttp://hdl.handle.net/10034/594433
dc.description.abstractIn this paper we are concerned with the numerical solution of a diffusion equation in which the time order derivative is distributed over the interval [0,1]. An implicit numerical method is presented and its unconditional stability and convergence are proved. A numerical example is provided to illustrate the obtained theoretical results.
dc.language.isoenen
dc.publisherKent State University/Johann Radon Institute for Computational and Applied Mathematics of the Austrian Academy of Sciencesen
dc.relation.urlhttp://etna.math.kent.edu/vol.44.2015/pp289-305.dir/pp289-305.pdfen
dc.subjectCaputo derivativeen
dc.subjectFractional differential equationen
dc.subjectsubdiffusionen
dc.subjectFinite difference methoden
dc.subjectDistributed order differential equationsen
dc.titleAn implicit finite difference approximation for the solution of the diffusion equation with distributed order in timeen
dc.typeArticleen
dc.contributor.departmentUniversity of Chester, UTAD, Portugal, Universidade Nova de Lisboa, Portugalen
dc.identifier.journalElectronic Transactions on Numerical Analysis
dc.internal.reviewer-noteNeed to check if publisher permits archiving in repositories - is OA journal but no info on Romeo or jnl website KS 20/01/2016en
html.description.abstractIn this paper we are concerned with the numerical solution of a diffusion equation in which the time order derivative is distributed over the interval [0,1]. An implicit numerical method is presented and its unconditional stability and convergence are proved. A numerical example is provided to illustrate the obtained theoretical results.
rioxxterms.publicationdate2015-06-10


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