Applications of Haar basis method for solving some ill-posed inverse problems

被引：16
作者：
Pourgholi, R. [1 ]
Tavallaie, N. [1 ]
Foadian, S. [1 ]
机构：
[1] Damghan Univ, Sch Math & Comp Sci, Damghan, Iran
来源：
JOURNAL OF MATHEMATICAL CHEMISTRY | 2012年 / 50卷 / 08期
关键词：
Ill-posed inverse problems; Haar basis method; Tikhonov regularization method; Noisy data; GENERALIZED CROSS-VALIDATION; HEAT-CONDUCTION; WAVELET METHOD;
D O I：
10.1007/s10910-012-0036-4
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
In this paper a numerical method consists of combining Haar basis method and Tikhonov regularization method for solving some ill-posed inverse problems using noisy data is presented. By using a sensor located at a point inside the body and measuring the u(x, t) at a point x = a, 0 < a < 1, and applying Haar basis method to the inverse problem, we determine a stable numerical solution to this problem. Results show that an excellent estimation on the unknown functions of the inverse problem can be obtained within a couple of minutes CPU time at pentium IV-2.4 GHz PC.
引用
收藏
页码：2317 / 2337
页数：21
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