A posteriori truncated regularization method for identifying unknown heat source on a spherical symmetric domain

Abstract In this paper, we mainly consider the inverse problem for identifying the unknown heat source in spherical symmetric domain. We propose a truncation regularization method combined with an a posteriori regularization parameter choice rule to deal with this problem. The Hölder type convergenc...

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Bibliographic Details
Main Authors: Fan Yang, Miao Zhang, Xiao-Xiao Li, Yu-Peng Ren
Format: Article
Language:English
Published: SpringerOpen 2017-09-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-017-1276-1
Description
Summary:Abstract In this paper, we mainly consider the inverse problem for identifying the unknown heat source in spherical symmetric domain. We propose a truncation regularization method combined with an a posteriori regularization parameter choice rule to deal with this problem. The Hölder type convergence estimate is obtained. Numerical results are presented to illustrate the accuracy and efficiency of this method.
ISSN:1687-1847