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

Abstract

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.

Keywords

• identifying the unknown source
• ill-posed problem
• regularization method
• a posteriori parameter choice rule
• spherical symmetric domain