Publisher： Cambridge University Press
E-ISSN： 1991-7120|17|2|487-509
ISSN： 1815-2406
Source： Communications in Computational Physics, Vol.17, Iss.2, 2015-01, pp. : 487-509
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Abstract
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.
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