LEAST – SQUARES METHOD FOR ESTIMATING DIFFUSION COEFFICIENT

Abstract

Determining the diffusion coefficient based on the solution of the linear inverse problem of the parameter estimation by using the Least-square method is presented. A set of temperature measurements at a single sensor location inside the heat conducting body is required. The corresponding direct problem will be solved by an application of the heat fundamental solution.

Keywords

• inverse heat conduction problems
• direct problems
• diffusion coefficient