Two regularization methods for the Cauchy problems of the Helmholtz equation

被引：41
|
作者：
Qin, H. H. [1 ]
Wei, T. [1 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2010年 / 34卷 / 04期
关键词：
Cauchy problems; Helmholtz equation; Two regularization methods; Convergence estimates; BOUNDARY KNOT METHOD; FUNDAMENTAL-SOLUTIONS; HEAT-EQUATION;
D O I：
10.1016/j.apm.2009.07.008
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, the Cauchy problems for the Helmholtz equation are investigated. We propose two regularization methods to solve them. Convergence estimates are presented under an a-priori bounded assumption for the exact solution. Finally, the numerical examples show that the proposed numerical methods work effectively. (C) 2009 Elsevier Inc. All rights reserved.
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页码：947 / 967
页数：21
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