Central difference regularization method for the Cauchy problem of the Laplace's equation

被引：39
|
作者：
Xiong, Xiang-Tuan [1 ]
Fu, Chu-Li [1 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 181卷 / 01期
基金：
中国国家自然科学基金;
关键词：
ill-posed problem; Cauchy problem of Laplace's equation; difference regularization; regularization parameter; error estimate;
D O I：
10.1016/j.amc.2006.01.056
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the Cauchy problem for the Laplace's equation where the Cauchy data is given at x = 0 and the solution is sought in the interval 0 < x < 1. A semi-discrete difference schemes together with a choice of regularization parameter is presented and error estimate is obtained. A numerical example shows that the method works effectively. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：675 / 684
页数：10
相关论文
共 50 条
12345