Parameter identification in reaction-diffusion models by homotopy method

【摘要】：We consider certain one-dimensional reaction-diffusion models for two chemical substances with concentrations A(the reducing agent) and B(the coupler).The reducing agent diffuses and combines with the coupler.Both the diffusion coefficient D(x) and the reaction rate k are unknown.Suppose that final time(t=T) measurements on A(x,T) and B(x,T) are given,the problem is therefore to identify D(x) and k.A homotopy method is proposed to allow us to identify these coefficients and some numerical experiments are made.

【作者单位】：吉林大学数学研究所 School of Mathematics Jilin University
【分类号】：O241.3;TQ028.16