Genetic algorithm reseach and application in parameter identification inverse problem

The parameter identification inverse problem is a kind of important practical problem in many science fields. The two-dimensional convection-diffusion equation was introduced in this paper and we try to solve its parameter identification inverse problem by the genetic algorithm. The finite element method was illustrated to solve the steady problem of two-dimensional convection-diffusion equation before we compute parameter identification inverse problem each time. By using genetic algorithm, we can search the best approximate solution from many initial points and obtained the global optimum solution by means of crossover operator and mutation operator. The results of numerical simulation shows that the genetic algorithm have the higher accuracy and the quicker convergent speed. And it is easy to program and calculate and of great applicable in practice.