@Article{AAMM-12-5,
author = {Jing, Guo and Xu, Da},
title = {A Compact Difference Scheme for the Time-Fractional Partial Integro-Differential Equation with a Weakly Singular Kernel},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2020},
volume = {12},
number = {5},
pages = {1261--1279},
abstract = {<p style="text-align: justify;">In this paper, we construct a compact difference scheme for the time-fractional partial integro-differential equation. This model involves two nonlocal terms in time, i.e., a Caputo time-fractional derivative and an integral term with memory. We obtain the stability and the discrete $L_{2}$ convergence with second-order in time and fourth-order in space by the energy method. Two numerical examples are provided to confirm the theoretical results.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2019-0064},
url = {https://global-sci.com/article/73076/a-compact-difference-scheme-for-the-time-fractional-partial-integro-differential-equation-with-a-weakly-singular-kernel}
}