The Nonlinear Regression Function Specifications-NRFS-method is used to estimate the time variation of a heat source over the whole time domain in a hollow cylinder. The present algorithm is computationally efficient because it is expressed in a rapidly converging form by employing the split up procedure. Several numerical experiments are conducted for three different forms of the heat source, including triangular, half wave and exponential. The results showed the capability of the current approach to treat both continuous and discontinuous variations in the behavior of internal heat generations. Furthermore, no prior information is required on the functional form of the heat source generated within the solid. The effect of measurements errors is studied by adding random errors to the calculated exact temperatures. The NRFS algorithm remains stable and capable of reproducing relatively accurate results from inaccurate measured data.
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