@Article{EAJAM-9-4,
author = {Zhao, Yong-Liang and Zhu, Pei-Yong and Xian-Ming, Gu and Zhao, Xi-Le},
title = {A Second-Order Accurate Implicit Difference Scheme for Time Fractional Reaction-Diffusion Equation with Variable Coefficients and Time Drift Term},
journal = {East Asian Journal on Applied Mathematics},
year = {2019},
volume = {9},
number = {4},
pages = {723--754},
abstract = {<p style="text-align: justify;">Two implicit finite difference schemes combined with the Alikhanov&#39;s $L$2-1$σ$-formula are applied to one- and two-dimensional time fractional reaction-diffusion equations with variable coefficients and time drift term. The unconditional stability and $L$2-convergence of the methods are established. It is shown that the convergence order
of the methods is equal to 2 both in time and space. Numerical experiments confirm
the theoretical results. Moreover, since the arising linear systems can be ill-conditioned,
three preconditioned iterative methods are employed.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.200618.250319},
url = {https://global-sci.com/article/82629/a-second-order-accurate-implicit-difference-scheme-for-time-fractional-reaction-diffusion-equation-with-variable-coefficients-and-time-drift-term}
}