A study demonstrates a cross-correlation approach for estimating the best future-time parameter for the calibration integral equation method (CIEM). The non-integer-systemidentification method [8–10] represents an alternative calibration method for resolving inverse heat conduction problems based on a different formulation and numerical implementation. The CIEM represents a calibration approach for resolving inverse heat conduction problems that differs from purely numerical implementations. It is important to realize that alternative formulations. It is important to realize that alternative formulations, numerical methods, and regularization method, exist and implementation preference is based on the individual’s background and the particular problem under consideration. The CIEM is a highly accurate and robust approach for predicting the surface heat flux and surface temperature that does not require the specification of thermophysical, geometrical, and sensor properties.