关于具Robin边值的反向热传导问题的一种改进的Tikhonov正则化方法

Backward heat conduction problems are a class of severely ill-posed problems, i.e., the solution (if it exist) does not depend continuously on the data. In this paper, we propose a modified Tikhonov regularization method to deal with a backward heat equation with Robin boundary values. The error estimate between the exact solution and its approximation is given. Numerical experiment shows that the method is effective.