The method of lines and technology of regulurization are used to study the inverse problem of parameter recognitiong of nonlinear parabolic equation.The method of lines is first used to obtain the numerical solution with high accuracy to the positive problem,on the basis of which the regularization iterative algorithm to the inverse problem is obtained by means of technology of regularization and operator recognition perturbation method.The results from numerical simulution indicate that this algorithm is o...
【基金】
国家863计划资助项目(2005AA113150);
国家自然科学基金资助项目(50279041)
【更新日期】
2008-05-23
【分类号】
O175.26
【正文快照】
考虑如下非线性抛物型方程初边值问题:(Ⅰ)ut=xa(x)ux+f(u),0 x L,t>0(1)u|x=0=g1(t),u|x=L=g2(t),t 0(2)u|t=0=(x)(3)正问题是已知函数a(x),f,g1,g2,解定解问题(Ⅰ)得到u(t,x)。其中f是非线性源项,这类问题有非常重要的应用背景,当f(u)=λ(u-u3),λ>0是反应系
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