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This paper is concerned with the numerical implementation of a formula in theenclosure method as applied to a prototype inverse initial boundary valueproblem for thermal imaging in a one-space dimension. A precise error estimateof the formula is given and the effect on the discretization of the usedintegral of the measured data in the formula is studied. The formula requires alarge frequency to converge; however, the number of time interval divisionsgrows exponetially as the frequency increases. Therefore, for a given number ofdivisions, we fixed the trusted frequency region of convergence with some givenerror bound. The trusted frequency region is computed theoretically usingtheorems provided in this paper and is numerically implemented for variouscases.

Trusted frequency region of convergence for the enclosure method in an inverse heat equation