Determination of the Time-Dependent Thermal Conductivity in the Heat Equation with Spacewise Dependent Heat Capacity

M S Hussein,D Lesnic

doi:10.1007/978-3-319-20239-6_22

Determination of the Time-Dependent Thermal Conductivity in the Heat Equation with Spacewise Dependent Heat Capacity

M S Hussein, D Lesnic

https://doi.org/10.1007/978-3-319-20239-6_22

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Publication Date: Jan 1, 2015

Citations: 1

Affiliation: University of Leeds, University of Baghdad

#Time-Dependent Thermal Conductivity #Nonlinear Least-squares Minimization + Show 8 more

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Abstract

AbstractIn this paper, we consider an inverse problem of determining the time-dependent thermal conductivity from Cauchy data in a one-dimensional heat equation with space-dependent heat capacity. The parabolic partial differential equation is discretised using the finite -difference method and the inverse problem is recast as a nonlinear least-squares minimization. This is solved using the lsqnonlin routine from the MATLAB toolbox. Numerical results are presented and discussed showing that accurate and stable numerical solutions are achieved.KeywordsInverse problemFinite-difference methodThermal conductivity

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