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

Alain Pham Ngoc Dinh (1) , Pham Hoang Quan (2) , Dang Duc Trong (2)

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans
2 UNS-HCMC - University of Natural Sciences - HoChiMinh City

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.

Mots clés: heat equation; heat distribution; Sinc series; ill-posed problem; regularization

Domaines: Equations aux dérivées partielles [math.AP]

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, 2008, 9, pp.1103-1111. ⟨hal-00012311v2⟩