A modified Landweber iteration for general sideways parabolic equations

被引：4

作者：

Liu, Jin-bo ^{[1
]}

Deng, You-jun ^{[2
]}

机构：

[1] Changsha Univ Sci & Technol, Dept Math, Changsha 410076, Hunan, Peoples R China

[2] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410075, Hunan, Peoples R China

来源：

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2011年 / 27卷 / 04期

基金：

中国国家自然科学基金;

关键词：

inverse heat conduction problem; sideways parabolic equation; Landweber iteration; discrepancy principle; HEAT-EQUATION; REGULARIZATION; TIKHONOV;

D O I：

10.1007/s10255-011-0104-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a modified Landweber iteration to solve the sideways parabolic equation, which is an inverse heat conduction problem (IHCP) in the quarter plane and is severely ill-posed. We shall show that our method is of optimal order under both a priori and a posteriori stopping rule. Furthermore, if we use the discrepancy principle we can avoid the selection of the a priori bound. Numerical examples show that the computation effect is satisfactory.

引用

页码：727 / 738

页数：12

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