The Simplified Tikhonov Regularization Method for Identifying the Unknown Source for the Modified Helmholtz Equation

被引：28
|
作者：
Yang, Fan [1 ]
Guo, HengZhen [2 ]
Li, XiaoXiao [1 ]
机构：
[1] Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China
[2] Lanzhou City Univ, Inst Educ, Lanzhou 730070, Gansu, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2011年 / 2011卷
关键词：
SOURCE-TERM; IDENTIFICATION;
D O I：
10.1155/2011/953492
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper discusses the problem of determining an unknown source which depends only on one variable for the modified Helmholtz equation. This problem is ill-posed in the sense that the solution (if it exists) does not depend continuously on the data. The regularization solution is obtained by the simplified Tikhonov regularization method. Convergence estimate is presented between the exact solution and the regularization solution. Moreover, numerical results are presented to illustrate the accuracy and efficiency of this method.
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收藏
页数：14
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