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SINC APPROXIMATION OF THE HEAT DISTRIBUTION ON THE BOUNDARY OF A TWO-DIMENSIONAL FINITE SLAB

Abstract : We consider the two-dimensional problem of recovering globally in time the heat distribution 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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https://hal.archives-ouvertes.fr/hal-00012311
Contributor : Alain Pham Ngoc Dinh <>
Submitted on : Saturday, May 19, 2007 - 4:44:25 PM
Last modification on : Tuesday, July 3, 2018 - 1:26:03 PM
Document(s) archivé(s) le : Tuesday, September 21, 2010 - 12:38:18 PM

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  • HAL Id : hal-00012311, version 2
  • ARXIV : 0705.2824

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Alain Pham Ngoc Dinh, Pham Hoang Quan, Dang Duc Trong. SINC APPROXIMATION OF THE HEAT DISTRIBUTION ON THE BOUNDARY OF A TWO-DIMENSIONAL FINITE SLAB. Nonlinear Analysis: Real World Applications, Elsevier, 2008, pp.1103-1111. ⟨hal-00012311v2⟩

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