In this paper, a numerical solution of an inverse non-dimensional heat conduction problem will be considered. By using a sensor located at a point inside the body and measuring the temperature at a point x = x 1 , 0 < x 1 < 1, and applying the Chebyshev polynomials base function to the inverse heat conduction problem, we determine a stable numerical solution to this problem.
Mathematics Subject Classification: 35R30
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