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Table 12 The convergence order for R-ADI-CFDS4 at \({h_{x}}={h_{y}}= 0.02\pi \)

From: A reduced fourth-order compact difference scheme based on a proper orthogonal decomposition technique for parabolic equations

Temporal step size

Maximum error

Convergence order

τ = 0.05

6.1037e − 05

 

τ = 0.025

1.5258e − 05

2.0001

τ = 0.0125

3.8110e − 06

2.0013

τ = 0.00625

9.4918e − 07

2.0054

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