Estimation of surface temperatures from interior measurements using Tikhonov regularization

In many industrial applications, such as in the steel industry, it is important to monitor surface temperature, and also heating or cooling rates, during an process. However, often may be inaccessible for direct measurements. Instead we are restricted using interior measurements estimate by solving inverse heat conduction problem. The problem well-known has been studied authors. this paper a novel algorithm proposed, which allows use of multiple taken inside material. procedure based on formulating operator equation stability achieved Tikhonov regularization. By iterative procedure, can deal with non-linear problems where material properties depend temperature. Numerical experiments show that method works well. We apply proposed real measured data experiment.