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Table 2 Maximum errors and temporal convergence orders for ADI–CN extrapolated solution with \(T_{\mathrm{end}}=1\)

From: Alternating-direction implicit finite difference methods for a new two-dimensional two-sided space-fractional diffusion equation

\(\Delta t=h_{1}=h_{2}\) α = 0.6, β = 0.8 α = 0.7, β = 0.9
Maximum error Order Maximum error Order
1/5 3.7326e−3 - 9.4226e−4 -
1/10 9.3601e−4 1.996 2.3674e−4 2.078
1/20 2.3732e−4 1.980 5.5934e−5 2.081
1/40 5.9725e−5 1.990 1.4838e−5 1.914