On a general filter regularization method for the 2D and 3D Poisson equation in physical geodesy

被引：3
|
作者：
Nguyen Huy Tuan [1 ]
Binh Thanh Tran [2 ]
Le Dinh Long [3 ]
机构：
[1] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam
[2] Sai Gon Univ, Dept Math & Applicat, Ho Chi Minh City, Vietnam
[3] Inst Computat Sci & Technol, Environm Sci Lab, Ho Chi Minh City, Vietnam
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2014年
关键词：
Poisson equation; Cauchy problem; ill-posed problem; convergence estimates; CAUCHY-PROBLEM; LAPLACE;
D O I：
10.1186/1687-1847-2014-258
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a Cauchy problem for the Poisson equation with nonhomogeneous source. The problem is shown to be ill-posed as the solution exhibits unstable dependence on the given data function. Using a new method, we regularize the given problem and obtain some new results. Two numerical examples are given to illustrate the effectiveness of our method.
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收藏
页数：21
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