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Theory and Modern Applications

Table 2 The temporal errors and convergence order for CIIF2 scheme in Example 1

From: Stable finite difference method for fractional reaction–diffusion equations by compact implicit integration factor methods

 

\(\alpha _{x}=\alpha _{y}=1.4\)

α = 1.5

α = 1.8

τ

error

order

error

order

error

order

1d − 2

1.19E–5

6.31E–5

2.00

1.70E–5

2.00

5d − 3

3.33E–6

2.00

1.58E–5

2.00

4.26E–6

1.99

2.5d − 3

9.06E–7

1.99

3.95E–6

2.00

1.06E–6

2.01

1.25d − 3

2.43E–7

1.99

6.05E–7

2.00

1.06E–6

2.01