热方程未知源识别问题的磨光化方法

摘要

It investigated a problem of the identification of an unknown source ,the problem was ill-posed in the sense that the solution (if it existed) did not depend continuously on the data .The mollification regularization method was utilized for solving the problem ,and its convergent rate was analyzed .Numerical results were presented to illustrate the accuracy and efficiency of the method .%　　讨论一类未知源识别问题，这个问题是不适定的，即解不连续依赖于输入数据。本文中用磨光化方法对这一问题的稳定性进行分析，给出数值算法，数值试验显示正则化方法是稳定和有效的。