A Modified Landweber Iteration for General Sideways Parabolic Equations  

作　　者：Jin-bo LIU You-jun DENG 

机构地区：[1]Department of Mathematics, Changsha University of Science and Technology, Changsha 410076, China [2]School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410075,China

出　　处：《Acta Mathematicae Applicatae Sinica》2011年第4期727-738,共12页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China (No. 10971019);Scientific Research Fund of Guangxi Education Department Grant No. 201012MS067

摘　　要：Abstract 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.Abstract 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.

关 键 词：inverse heat conduction problem sideways parabolic equation Landweber iteration discrepancy principle 

分 类 号：O177.91[理学—数学] O175.26[理学—基础数学]