NEW NUMERICAL ALGORITHM FOR TEMPERATURE-MEASUREMENT BASED ON THE VARIATIONAL APPROACH OF AN OPTIMAL-CONTROL PROBLEM

A new numerical algorithm to measure temperatures is presented. Using a numerical computer, it reduces the measurement of the unknown temper ature to the variational approach of an optimal control problem. Based on this algorithm, a new device for temperature measurement is built. The principal component of the new device is a rod. The variation of the temperature that is produced near one end of the rod is determined using some temperature measurements in the other end of the rod and t he new numerical algorithm that is described in this work. At the same time, some possibilities of practical implementation and a collection of simulations are presented.