@Article{EAJAM-9-386,
author = {Shuping Yang and Xiangtuan Xiong},
title = {A Fractional Tikhonov Regularisation Method for Finding Source Terms in a Time-Fractional Radial Heat Equation},
journal = {East Asian Journal on Applied Mathematics},
year = {2019},
volume = {9},
number = {2},
pages = {386--408},
abstract = {<p style="text-align: justify;">The ill-posed problems of the identification of unknown source terms in a
time-fractional radial heat conduction problem are studied. To overcome the difficulties
caused by the ill-posedness, a fractional Tikhonov regularisation method is proposed.
Employing Mittag-Leffler function, we obtain error estimates under a priori and a posteriori regularisation parameter choices. In the last situation, the Morozov discrepancy
principle is also used. Numerical examples show that the method is a stable and effective tool in the reconstruction of smooth and non-smooth source terms and, generally,
outperforms the classical Tikhonov regularisation.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.090918.030119 },
url = {http://global-sci.org/intro/article_detail/eajam/13089.html}
}