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Inverse problem of estimating time-dependent heat transfer coefficient with the network simulation method. (English) Zbl 1061.65093
Summary: The sequential function specification method together with the network simulation method are applied in the inverse estimation of the time-dependent heat transfer coefficient with internal heat generation. The thermal properties of the solid and air are dependent on temperature. The input data are the temperature history at a particular location of the solid. The common iterative least-squares approach is used to minimize the functional and in all cases a piecewise function is used to approximate the solution.

65M32 Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs
35K05 Heat equation
35R30 Inverse problems for PDEs
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
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