Acta Mathematica Vietnamica
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SURFACE TEMPERATURE DETERMINATION FROM BOREHOLE MEASUREMENTS: A FINITE SLAB MODEL
TRAN THI LE, DINH NGOC THANH, PHAM HUU TRI
Abstract
The authors consider the problem of determining the temperature at one surface of a slab of finite thickness from temperatures measured at interior points. The problem is reduced to solving a Cauchy problem for the heat equation, which is then regularized using the Tikhonov method. Error estimastes are given.