Abdolsadeh Neisyy - Department of Mathematics and Statistics, Faculty of Economics, Allameh Tabataba'ee University,

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.

inverse heat conduction problems, direct problems, diffusion coefficient