Sinc Approximation of the Heat Flux on the Boundary of a Two-Dimensional Finite Slab |
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| Authors: | P. H. Quan D. D. Trong |
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| Affiliation: | Department of Mathematics and Informatics , HoChiMinh City National University , HoChiMinh City , Vietnam |
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| Abstract: | We consider the two-dimensional problem of recovering globally in time the heat flux on the surface of a layer inside of a heat-conducting body from two interior temperature measurements. The problem is ill-posed. The approximation function is represented by a two-dimensional Sinc series and the error estimate is given. |
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| Keywords: | Heat equation Heat flux Ill-posed problem Numerical results Regularization Sinc series |
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