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Advances in Continuous and Discrete Models

Theory and Modern Applications

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

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