IDENTIFYING AN UNKNOWN SOURCE IN SPACE-FRACTIONAL DIFFUSION EQUATION

被引:0
作者
杨帆 [1 ,2 ]
傅初黎 [2 ]
李晓晓 [1 ]
机构
[1] School of Science,Lanzhou University of Technology
[2] School of Mathematics and Statistics,Lanzhou University
基金
中国国家自然科学基金;
关键词
spatial-dependent heat source; space-fractional diffusion equation; generalized Tikhonov regularization; A posteriori parameter choice; error estimate;
D O I
暂无
中图分类号
O175 [微分方程、积分方程];
学科分类号
070104 ;
摘要
In this paper, we identify a space-dependent source for a fractional diffusion equation. This problem is ill-posed, i.e., the solution(if it exists) does not depend continuously on the data. The generalized Tikhonov regularization method is proposed to solve this problem. An a priori error estimate between the exact solution and its regularized approximation is obtained. Moreover, an a posteriori parameter choice rule is proposed and a stable error estimate is also obtained. Numerical examples are presented to illustrate the validity and effectiveness of this method.
引用
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页码:1012 / 1024
页数:13
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