Parameter Identification of Diffusion Equation

The paper deal with the identification problem of the parameter of diffusion equation based on output measurment of distributed signals in the finite number of spatial points. The state of the diffusion equation is approximated by the distrbuted signais via the the spline approximation. The system governed by the diffusion eqution is trasformed to lumped parameter system and the parameter of the diffusion equation is identificated by the following least-squares algorithm.