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      Multi input dynamical modeling of heat flow with uncertain diffusivity parameter

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      Author(s)
      Efe, M. Ö.
      Özbay, Hitay
      Date
      2003
      Source Title
      Mathematical and Computer Modelling of Dynamical Systems
      Print ISSN
      1387-3954
      Publisher
      Taylor & Francis
      Volume
      9
      Issue
      4
      Pages
      437 - 450
      Language
      English
      Type
      Article
      Item Usage Stats
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      Abstract
      This 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.
      Keywords
      Heat conduction
      Infinite dimensional system
      Model reduction
      Multi-input modeling
      Singular value decomposition
      Conduction process
      Dynamical equation
      Galerkin projections
      Infinite-dimensional system
      Model reduction
      Multiinput
      One-dimensional heat
      Spatio-temporal decomposition
      Heat conduction
      Ordinary differential equations
      Singular value decomposition
      Uncertainty analysis
      Boundary conditions
      Fluid flow
      Heat conduction
      Heat transfer
      Mathematical modeling
      Permalink
      http://hdl.handle.net/11693/24383
      Published Version (Please cite this version)
      http://dx.doi.org/10.1076/mcmd.9.4.437.27902
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