@Article{EAJAM-9-2,
author = {},
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 = {https://global-sci.com/article/82611/a-fractional-tikhonov-regularisation-method-for-finding-source-terms-in-a-time-fractional-radial-heat-equation}
}