The determination of two moving heat sources in two-dimensional inverse heat problem

There are some restrictions in the estimation of location and strength problems in recent studies. One of the restrictions is that the problem is limited to the static sources and the single moving source. In other words, there is no method available to estimate the location and the strength of two moving sources presently. Therefore, it is necessary to develop a robust method to estimate the location and the strength of two moving heat sources. In this paper, a numerical algorithm is proposed to determine the problem sequentially. Special feature about this method is that no preselect functional form for the unknown sources is necessary and no sensitivity analysis is needed in the algorithm. Two examples are used to demonstrate the characteristics of the proposed method. From the results, they show that the proposed method is an accurate and efficient method to determine the location and the strength of two moving sources in the inverse heat conduction problem.