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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 1 Maximum errors and temporal convergence orders for the ADI–implicit Euler method 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

1/10

4.8003e−3

-

1.7678e−3

-

1/20

2.6001e−3

0.885

8.8503e−4

0.999

1/40

1.3000e−3

1.000

4.4357e−4

0.996

1/80

6.7261e−4

0.956

2.2553e−4

0.976

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