A mollification regularization method for unknown source in time-fractional diffusion equation | |
Yang, Fan1,2; Fu, Chu-Li2; Li, Xiao-Xiao1 | |
刊名 | INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
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2014 | |
卷号 | 91期号:7页码:1516-1534 |
关键词 | time-dependent heat source time-fractional diffusion equation modified regularization a posteriori parameter choice error estimate |
ISSN号 | 0020-7160 |
DOI | 10.1080/00207160.2013.851787 |
英文摘要 | In the present paper, we consider an inverse source problem for a fractional diffusion equation. This problem is ill-posed, i.e. the solution (if it exists) does not depend continuously on the data. We give the mollification regularization method to solve this problem. An a priori error estimate between the exact solution and its regularized approximation is obtained. Moreover, a new a posteriori parameter choice rule is also proposed and a good error estimate is also obtained. Numerical examples are presented to illustrate the validity and effectiveness of this method. |
资助项目 | National Natural Science Foundation of China[11171136][11261032] ; Distinguished Young Scholars Fund of Lan Zhou University of Technology[Q201015] |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | TAYLOR & FRANCIS LTD |
WOS记录号 | WOS:000340826600011 |
状态 | 已发表 |
内容类型 | 期刊论文 |
源URL | [http://119.78.100.223/handle/2XXMBERH/34482] ![]() |
专题 | 理学院 |
通讯作者 | Yang, Fan |
作者单位 | 1.Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China 2.Lanzhou Univ Technol, Sch Math & Stat, Lanzhou 730050, Gansu, Peoples R China |
推荐引用方式 GB/T 7714 | Yang, Fan,Fu, Chu-Li,Li, Xiao-Xiao. A mollification regularization method for unknown source in time-fractional diffusion equation[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,2014,91(7):1516-1534. |
APA | Yang, Fan,Fu, Chu-Li,&Li, Xiao-Xiao.(2014).A mollification regularization method for unknown source in time-fractional diffusion equation.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,91(7),1516-1534. |
MLA | Yang, Fan,et al."A mollification regularization method for unknown source in time-fractional diffusion equation".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 91.7(2014):1516-1534. |
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