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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