The method of central difference for the inverse time-dependent heat source problem | |
Yang, Fan1,2; Guo, HengZhen3; Li, XiaoXiao2 | |
2011-12 | |
发表期刊 | APPLIED MATHEMATICS AND COMPUTATION |
ISSN | 0096-3003 |
卷号 | 218期号:7页码:3025-3034 |
摘要 | This paper investigates the inverse problem of determining a heat source in a parabolic equation where data are given at some fixed location. This problem is ill-posed, i.e., the solution (if it exists) does not depend continuously on the data. A central difference regularization method is given and an order optimal stability estimate is obtained. Numerical results for several benchmark test problems indicate that the central difference regularization method is an accurate and flexible method to determine the unknown time-dependent heat source. (c) 2011 Elsevier Inc. All rights reserved. |
关键词 | Method of central difference Time-dependent heat source Error estimate |
DOI | 10.1016/j.amc.2011.09.016 |
收录类别 | SCI ; SCIE |
语种 | 英语 |
资助项目 | Lan Zhou University of Technology[Q201015] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:000297375100005 |
出版者 | ELSEVIER SCIENCE INC |
EI入藏号 | 20114414473250 |
EI主题词 | Inverse problems |
EI分类号 | 921.6 Numerical Methods |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | https://ir.lut.edu.cn/handle/2XXMBERH/35023 |
专题 | 理学院 |
通讯作者 | Yang, Fan |
作者单位 | 1.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China; 2.Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China; 3.Lanzhou City Univ, Inst Educ, Lanzhou 730070, Gansu, Peoples R China |
第一作者单位 | 理学院 |
通讯作者单位 | 理学院 |
推荐引用方式 GB/T 7714 | Yang, Fan,Guo, HengZhen,Li, XiaoXiao. The method of central difference for the inverse time-dependent heat source problem[J]. APPLIED MATHEMATICS AND COMPUTATION,2011,218(7):3025-3034. |
APA | Yang, Fan,Guo, HengZhen,&Li, XiaoXiao.(2011).The method of central difference for the inverse time-dependent heat source problem.APPLIED MATHEMATICS AND COMPUTATION,218(7),3025-3034. |
MLA | Yang, Fan,et al."The method of central difference for the inverse time-dependent heat source problem".APPLIED MATHEMATICS AND COMPUTATION 218.7(2011):3025-3034. |
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