@Article{CiCP-17-487,
author = {Guang-Hua Gao and Hai-Wei Sun},
title = {Three-Point Combined Compact Alternating Direction Implicit Difference Schemes for Two-Dimensional Time-Fractional Advection-Diffusion Equations},
journal = {Communications in Computational Physics},
year = {2018},
volume = {17},
number = {2},
pages = {487--509},
abstract = {<p style="text-align: justify;">This paper is devoted to the discussion of numerical methods for solving
two-dimensional time-fractional advection-diffusion equations. Two different three-point
combined compact alternating direction implicit (CC-ADI) schemes are proposed
and then, the original schemes for solving the two-dimensional problems are divided
into two separate one-dimensional cases. Local truncation errors are analyzed and the
unconditional stabilities of the obtained schemes are investigated by Fourier analysis
method. Numerical experiments show the effectiveness and the spatial higher-order
accuracy of the proposed methods.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.180314.010914a},
url = {http://global-sci.org/intro/article_detail/cicp/10966.html}
}