Multi input dynamical modeling of heat flow with uncertain diffusivity parameter

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buir.contributor.authorÖzbay, Hitay
dc.citation.epage450en_US
dc.citation.issueNumber4en_US
dc.citation.spage437en_US
dc.citation.volumeNumber9en_US
dc.contributor.authorEfe, M. Ö.en_US
dc.contributor.authorÖzbay, Hitayen_US
dc.date.accessioned2016-02-08T10:28:31Z
dc.date.available2016-02-08T10:28:31Z
dc.date.issued2003en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractThis paper focuses on the multi-input dynamical modeling of one-dimensional heat conduction process with uncertainty on thermal diffusivity parameter. Singular value decomposition is used to extract the most significant modes. The results of the spatiotemporal decomposition have been used in cooperation with Galerkin projection to obtain the set of ordinary differential equations, the solution of which synthesizes the temporal variables. The spatial properties have been generalized through a series of test cases and a low order model has been obtained. Since the value of the thermal diffusivity parameter is not known perfectly, the obtained model contains uncertainty. The paper describes how the uncertainty is modeled and how the boundary conditions are separated from the remaining terms of the dynamical equations. The results have been compared with those obtained through analytic solution. © Taylor and Francis Ltd.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T10:28:31Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2003en
dc.identifier.doi10.1076/mcmd.9.4.437.27902en_US
dc.identifier.issn1387-3954
dc.identifier.urihttp://hdl.handle.net/11693/24383
dc.language.isoEnglishen_US
dc.publisherTaylor & Francisen_US
dc.relation.isversionofhttp://dx.doi.org/10.1076/mcmd.9.4.437.27902en_US
dc.source.titleMathematical and Computer Modelling of Dynamical Systemsen_US
dc.subjectHeat conductionen_US
dc.subjectInfinite dimensional systemen_US
dc.subjectModel reductionen_US
dc.subjectMulti-input modelingen_US
dc.subjectSingular value decompositionen_US
dc.subjectConduction processen_US
dc.subjectDynamical equationen_US
dc.subjectGalerkin projectionsen_US
dc.subjectInfinite-dimensional systemen_US
dc.subjectModel reductionen_US
dc.subjectMultiinputen_US
dc.subjectOne-dimensional heaten_US
dc.subjectSpatio-temporal decompositionen_US
dc.subjectHeat conductionen_US
dc.subjectOrdinary differential equationsen_US
dc.subjectSingular value decompositionen_US
dc.subjectUncertainty analysisen_US
dc.subjectBoundary conditionsen_US
dc.subjectFluid flowen_US
dc.subjectHeat conductionen_US
dc.subjectHeat transferen_US
dc.subjectMathematical modelingen_US
dc.titleMulti input dynamical modeling of heat flow with uncertain diffusivity parameteren_US
dc.typeArticleen_US

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