The method of central difference for the inverse time-dependent heat source problem

doi:10.1016/j.amc.2011.09.016

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	The method of central difference for the inverse time-dependent heat source problem
	Yang, Fan1,2 ; Guo, HengZhen 3; 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	被引频次：8[WOS] [WOS记录] [WOS相关记录]
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.