A regularization method for the cauchy problem of the modified Helmholtz equation

被引：7
|
作者：
Cheng, Hao [1 ]
Zhu, Ping [1 ]
Gao, Jie [1 ]
机构：
[1] Jiangnan Univ, Sch Sci, Wuxi 214122, Jiangsu, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2015年 / 38卷 / 17期
关键词：
cauchy problem of the modified Helmholtz equation; regularization; error estimate; a posteriori parameter choice rule; numerical test; BOUNDARY ELEMENTS METHOD; FUNDAMENTAL-SOLUTIONS;
D O I：
10.1002/mma.3311
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, an iteration regularization method for solving the Cauchy problem of the modified Helmholtz equation is proposed. The a priori and a posteriori rule for choosing regularization parameters with corresponding error estimates between the exact solution and its approximation are also given. The numerical example shows the effectiveness of thismethod. Copyright (C) 2014 JohnWiley & Sons, Ltd.
引用
收藏
页码：3711 / 3719
页数：9
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