一类反应扩散系统的参数辨识与反演方法

Parameter Identification and Inversion Method for a Class of Reaction Diffusion Systems

研究具有两个未知参数D和k的一类反应扩散系统的参数辨识与反演问题 .对其中未知系数函数D =D(x) ,采用时空有限元数值方法进行辨识 ,给出其数值逼近解Dh.将此常数数值逼近解Dh 作为控制参数 ,利用反演方法确定系统的另一个未知参数k .

This paper is concerned with the problem of the numerical identification and inversion for a class of reaction diffusion systems with two unknown parameter D and k. As one of them (i.e. D=D(x))is a coefficient function,then we can identify it with the time space finite element method. After giving the numerical approximating solution D h for the unknown coefficient function D=D(x),then we can determine parameter k by the inversion method with taking D h as a new control parameter.