An inverse time-dependent source problem for the heat equation

被引：33
|
作者：
Hazanee, A. [1 ]
Ismailov, M. I. [2 ]
Lesnic, D. [1 ]
Kerimov, N. B. [3 ]
机构：
[1] Univ Leeds, Dept Appl Math, Leeds LS2 9JT, W Yorkshire, England
[2] Gebze Inst Technol, Dept Math, TR-41400 Gebze, Turkey
[3] Mersin Univ, Dept Math, TR-33343 Mersin, Turkey
来源：
APPLIED NUMERICAL MATHEMATICS | 2013年 / 69卷
关键词：
Inverse problem; Heat equation; Heat source; Nonlocal boundary conditions; Boundary element method; Regularization; L-CURVE; OVERDETERMINATION; BOUNDARY;
D O I：
10.1016/j.apnum.2013.02.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper the inverse problem of finding the time-dependent heat source together with the temperature solution of heat equation with nonlocal boundary and integral additional conditions is investigated. The existence, uniqueness and continuous dependence of the solution of the inverse problem upon the data are established. Furthermore, a boundary element method combined with the Tikhonov regularization of various orders is developed in order to obtain a stable solution. Numerical results are presented and discussed. (C) 2013 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：13 / 33
页数：21
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