TY - JOUR
T1 - The Identification of the Time-Dependent Source Term in Time-Fractional Diffusion-Wave Equations
AU - Kai Fang Liao, Yu Shan Li & Ting Wei
JO - East Asian Journal on Applied Mathematics
VL - 2
SP - 330
EP - 354
PY - 2019
DA - 2019/03
SN - 9
DO - http://doi.org/10.4208/eajam.250518.170119
UR - https://global-sci.org/intro/article_detail/eajam/13086.html
KW - Inverse source problem, fractional diffusion-wave equation, conjugate gradient method.
AB - <p style="text-align: justify;">An inverse time-dependent source problem for a multi-dimensional fractional
diffusion wave equation is considered. The regularity of the weak solution for the direct problem under strong conditions is studied and the unique solvability of the inverse
problem is proved. The regularised variational problem is solved by the conjugate gradient method combined with Morozov&#39;s discrepancy principle. Numerical examples show
the stability and efficiency of the method.</p>