摘要
反向热传导问题是一类严重的不适定问题,它给数值处理带来了很大的不便。通过拟可逆正则化方法,恢复了解对数据的连续依赖性,并给出误差估计。通过提高先验光滑性假设得到了t=0时的收敛性。
The backward heat conduction problem（ BHCP） is a severely ill-posed problem and it seems impossible to compute numerically on the data does not depend the solution when it continuously. In this paper,the stability of this problem is recovered by a perturbation method and the error estimates is given. The other improved by prior smoothness assumptions.
出处
《贵州师范大学学报（自然科学版）》
CAS
2016年第1期73-76,共4页
Journal of Guizhou Normal University：Natural Sciences
关键词
反向热传导问题
不适定问题
拟可逆方法
误差估计
backward heat conduction problem
ill-posed problem
the perturbation method
error estimate
