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Two-parameter regularization method for an axisymmetric inverse heat problem

Authors: 

Ngo Van Hoa, Tra Quoc Khanh

Source title: 
Boundary Value Problems, 2017:25, 2017 (ISI)
Academic year of acceptance: 
2016-2017
Abstract: 

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.