A Second-Order Finite Difference Method for Two-Dimensional Fractional Percolation Equations
2016 ◽
Vol 19
(3)
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pp. 733-757
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AbstractA finite difference method which is second-order accurate in time and in space is proposed for two-dimensional fractional percolation equations. Using the Fourier transform, a general approximation for the mixed fractional derivatives is analyzed. An approach based on the classical Crank-Nicolson scheme combined with the Richardson extrapolation is used to obtain temporally and spatially second-order accurate numerical estimates. Consistency, stability and convergence of the method are established. Numerical experiments illustrating the effectiveness of the theoretical analysis are provided.
2021 ◽
Vol 7
(1)
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2011 ◽
Vol 17
(05)
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pp. 779-794
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1989 ◽
Vol 79
(4)
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pp. 1210-1230
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2019 ◽
Vol 174-175
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pp. 69-84
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2017 ◽
Vol 82
(5)
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pp. 909-944
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2000 ◽
Vol 66
(642)
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pp. 332-338
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