Distribution Estimation of Heat Conduction using Kalman filtering which Implemented on Reduction Model

In this paper estimates the distribution will be done on the wire conductor of heat conduction by using a Kalman filter. Later in this paper, will be another way to get estimates of the distribution of heat conduction in the wire conductor is expected to provide more accurate results and requires a faster computing time, by performing the model reduction method and apply the Kalman filter on models that have been reduced.