@Article{EAJAM-11-4,
author = {Rui-Lian, Du and Zhi-Zhong, Sun},
title = {A Fast Temporal Second-Order Compact ADI Scheme for Time Fractional Mixed Diffusion-Wave Equations},
journal = {East Asian Journal on Applied Mathematics},
year = {2021},
volume = {11},
number = {4},
pages = {647--673},
abstract = {<p style="text-align: justify;">A fast temporal second-order compact alternating direction implicit (ADI) difference scheme is proposed and analysed for 2D time fractional mixed diffusion-wave
equations. The time fractional operators are approximated by mixed fast $L2$-$1_σ$ and
fast $L1$-type formulas derived by using the sum-of-exponentials technique. The spatial
derivatives are approximated by the fourth-order compact difference operator, which
can be implemented by an ADI approach with relatively low computational cost. The
resulting fast algorithm is computationally efficient in long-time simulations since the
computational cost is significantly reduced. Numerical experiments confirm the effectiveness of the algorithm and theoretical analysis.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.271220.090121},
url = {https://global-sci.com/article/82531/a-fast-temporal-second-order-compact-adi-scheme-for-time-fractional-mixed-diffusion-wave-equations}
}