Two-parameter regularization method for an axisymmetric inverse heat problem

被引：0
|
作者：
Ngo Van Hoa
Tra Quoc Khanh
机构：
[1] Ton Duc Thang University,Division of Computational Mathematics and Engineering, Institute for Computational Science
[2] Ton Duc Thang University,Faculty of Mathematics and Statistics
[3] University of Science,Faculty of Mathematics and Computer Science
来源：
Boundary Value Problems | / 2017卷
关键词：
axisymmetric inverse heat problem; ill-posed problem; error estimates;
D O I：
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摘要：
In this paper we consider the inverse time problem for the axisymmetric heat equation which is a severely ill-posed problem. Using the modified quasi-boundary value (MQBV) method with two regularization parameters, one related to the error in measurement process and the other related to the regularity of solution, we regularize this problem and obtain the Hölder-type estimation error for the whole time interval. Numerical results are presented to illustrate the accuracy and efficiency of the method.
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