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Publication Date
Sun Sep 01 2019
Journal Name
Journal Of Physics: Conference Series
Volume
1294
DOI
10.1088/1742-6596/1294/3/032014
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sBZcZ4cBVTCNdQwCHEm_
Recovery of temporal coefficient for heat equation from non-local overdetermination conditions
Mohammed
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Abstract<p>Recovery of time-dependent thermal conductivity has been numerically investigated. The problem of identification in one-dimensional heat equation from Cauchy boundary data and mass/energy specification has been considered. The inverse problem recasted as a nonlinear optimization problem. The regularized least-squares functional is minimised through lsqnonlin routine from MATLAB to retrieve the unknown coefficient. We investigate the stability and accuracy for numerical solution for two examples with various noise level and regularization parameter.</p>
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