热源和初始分布同时反演的Tikhonov正则化方法OACSTPCD

The problem of simultaneous inversion of the source term and initial distribution of heat conduction equation in bounded domains is studied.Through the characteristic system of the heat conduction problem,combined with the idea of separating vari-ables,the Tikhonov regularization method that can simultaneously reconstruct the source term and initial distribution of heat conduc-tion equation,is constructed.The convergence of the regularization solution is proved,and the posterior strategy of regularization pa-rameter selection is given with error estimation of the regularization solutions.Finally,numerical simulations for the proposed regu-larization method are carried out,and the results show that the regularization method is effective.