当前位置: X-MOL 学术J. Comput. Appl. Math. › 论文详情
The fractional Tikhonov regularization methods for identifying the initial value problem for a time-fractional diffusion equation
Journal of Computational and Applied Mathematics ( IF 1.883 ) Pub Date : 2020-05-22 , DOI: 10.1016/j.cam.2020.112998
Fan Yang; Qu Pu; Xiao-Xiao Li

In this paper, we identify the initial value for a time-fractional diffusion equation on a columnar axis-symmetric domain. This problem is ill-posed, i.e., the solution (if it exists) does not depend continuously on the domain. Two different kinds of fractional Tikhonov methods are used to solve this problem. Under the a priori and the a posteriori regularization parameter choice rules, the error estimates between the regularization solutions and the exact solution are obtained, respectively. Different numerical examples are presented to illustrate the validity and effectiveness of our methods.
更新日期:2020-05-22

 

全部期刊列表>>
如何通过Nature平台传播科研成果
跟Nature、Science文章学绘图
隐藏1h前已浏览文章
课题组网站
新版X-MOL期刊搜索和高级搜索功能介绍
中洪博元
ACS材料视界
x-mol收录
南开大学
朱守非
廖良生
郭东升
西湖大学
伊利诺伊大学香槟分校
徐明华
中山大学化学工程与技术学院
试剂库存
天合科研
down
wechat
bug