LEAST – SQUARES METHOD FOR ESTIMATING DIFFUSION COEFFICIENT

Determination of the diffusion coefficient on the base of solution of a linear inverse problem of the parameter estimation using the Least-square method is presented in this research. For this propose a set of temperature measurements at a single sensor location inside the heat conducting body was considered. The corresponding direct problem was then solved by the application of the heat fundamental solution.

Keywords:

inverse heat conduction problems , direct problems , diffusion coefficient