Parameter Estimation for Diffusion Models

Torsten Söderström and Susanne Halvarsson

May 1999

Abstract:

In many applications, for example in heat diffusion and in flow problems, it is important to describe the process behavior inside the particular medium. An example can be the strive for estimating certain parameters related to the material. This paper describes how the diffusion, modeled by a partial differential equation, can be solved using numerical methods and how results from the field of system identification can be utilized in order to estimate the parameters of interest.

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