西北师范大学学报（自然科学版）2016，Vol.52Issue(2)：9-12,4.DOI:10.16783/j.cnki.nwnuz.2016.02.003
二维时间分数阶扩散方程的 Tikhonov 正则化方法及误差估计
Tikhonov method for the time fractional diffusion equation in 2-D space and error estimation
摘要
Abstract
A non‐characteristic Cauchy problem for the time fractional order diffusion equation in the 2‐D setting is a severely ill‐posed problem . In this paper , a regularization solution is constructed for the problem by using Tikhonov method , and then the error estimate between regularation approximation solution and exact solution is given .关键词
不适定问题/二维分数阶扩散方程/Tikhonov正则化方法/误差估计Key words
ill-posed problem/two-dimensional fractional diffusion equation/Tikhonov regularization method/error estimate分类
数理科学引用本文复制引用
熊向团,郑振明,周茜..二维时间分数阶扩散方程的 Tikhonov 正则化方法及误差估计[J].西北师范大学学报（自然科学版）,2016,52(2):9-12,4.基金项目
甘肃省自然科学基金资助项目 （）
