Department of Mathematics
Regularization for 2-D fractional sideways heat equations
Copyright © Taylor & Francis Group, LLC.In this article, an inverse problem of Caputo-time-fractional sideways heat equations is considered. The aim is to find the inaccessible boundary data of some heterogeneous materials through interior measurements. Instead of the standard Tikhonov approach, we propose a series of fast filters for reconstructing the missing boundary data. Theoretical error bounds are provided for both boundary and (near-boundary) interior reconstructions. Several numerical examples are included to verify the proven convergence results. © 2015
Source Publication Title
Numerical Heat Transfer, Part B Fundamentals
Taylor & Francis
Wang, Caixian, Leevan Ling, Xiangtuan Xiong, and Ming Li. "Regularization for 2-D fractional sideways heat equations." Numerical Heat Transfer, Part B Fundamentals 68.5 (2015): 418-433.