Abstract: A general approach based on evolutionary algorithms to inverse parameter identification problems of PDEs is introduced. The evolutionary algorithms is used for solving the inverse problem as an optimization problem. This approach can evolve the optimal coefficient estimation by genetic algorithms (GA) in the giving function space of unknown parameter from observation data objectively and automatically. The approach has also been applied to parameter identification problem of linear and quasi linear parabolic equations. The numerical results demonstrated the effectiveness of this method.

Key words: inverse problem, parameter identification, evolutionary algorithms, genetic algorithms