A Modified Landweber Iteration for General Sideways Parabolic Equations

被引：0
|
作者：
Jin-bo LIU 1
机构：
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;
D O I：
暂无
中图分类号：
O175.26 [抛物型方程];
学科分类号：
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.
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页码：727 / 738
页数：12
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