非线性扩散问题求逆之探讨

Study on Non-linear Inverse of Diffusion Problem

针对非线性潜水微分方程求逆出现的严重病态情况 ,试图提出一种新方法———模拟退火法 ,利用其中的Boltzmann变换可使求逆达到满意效果 ,实例显示此方法对带噪声的数据也是可行的。

As for the serious ill-conditioning on solving the inverse problem of non-linear hyperbolic equations, the paper tries to control it with Boltzmann's transformation with the satisfactory result. And the example shows that this method is very effective for some noisy data.