An iteration regularization for a time-fractional inverse diffusion problem

作者：Cheng, Hao; Fu, Chu-Li^*

来源：Applied Mathematical Modelling, 2012, 36(11): 5642-5649.

DOI：10.1016/j.apm.2012.01.016

• Time-fractional inverse diffusion problem
• Iteration regularization method
• A posteriori parameter choice
• Error estimate

In the present paper we consider a time-fractional inverse diffusion problem, where data is given at x = 1 and the solution is required in the interval 0 < x < 1. This problem is typically ill-posed: the solution (if it exits) does not depend continuously on the data. We give a new iteration regularization method to deal with this problem, and error estimates are obtained for a priori and a posteriori parameter choice rules, respectively. Furthermore, numerical implement shows the proposed method works effectively.

• 出版日期2012-11
• 单位兰州大学