一类分数阶热传导方程的Fourier正则化方法

Fourier regularization method for a kind of fractional heat conduction equation

分数阶热传导问题是一个不适定问题,即解不连续依赖输入数据.用Fourier正则化方法对这一问题进行稳定性分析,同时给出数值算法.

Fractional heat conduction problem was ill-posed problem which the solution （if it exised） didn＇t depend continuously on the datas. In this paper, it proposed a regularization strategy- Fourier method to analysis the stability of the problem. Meanwhile, we gave the numerical agorithm.