Determining an Unknown Source in the Heat Equation by a Mollification Regularization Method

摘要

The problem of identifying an unknown source in the heat equation is ill-posed in the sense that the solution(if it exists) does not depend continuously on the data. In this paper, we proposed a regularization strategy-mollification method to analysis the stability of the problem. Meanwhile, we proposed numerical implement. Numerical example show that the proposed method is effective and stable.