TY - JOUR
T1 - Three-Point Combined Compact Alternating Direction Implicit Difference Schemes for Two-Dimensional Time-Fractional Advection-Diffusion Equations
AU - Guang-Hua Gao & Hai-Wei Sun
JO - Communications in Computational Physics
VL - 2
SP - 487
EP - 509
PY - 2018
DA - 2018/04
SN - 17
DO - http://doi.org/10.4208/cicp.180314.010914a
UR - https://global-sci.org/intro/article_detail/cicp/10966.html
KW - 
AB - <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>