Three-Point Combined Compact Alternating Direction Implicit Difference Schemes for Two-Dimensional Time-Fractional Advection-Diffusion Equations
2015 ◽
Vol 17
(2)
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pp. 487-509
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Keyword(s):
AbstractThis 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.
2015 ◽
Vol 66
(3)
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pp. 1281-1312
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2016 ◽
Vol 69
(2)
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pp. 506-531
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2019 ◽
Vol 37
(3)
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pp. 297-315
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2015 ◽
Vol 69
(9)
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pp. 926-948
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2015 ◽
Vol 19
(2)
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pp. 69-108
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1998 ◽
Vol 10
(4)
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pp. 291-299
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Vol 28
(11)
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pp. 2620-2649
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Vol 136
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pp. 139-151
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