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Boundary Value Problems

Table 20 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 = 0.2

1.9686e − 04

 

τ = 0.1

4.8886e − 05

2.0097

τ = 0.05

1.2212e − 05

2.0011

τ = 0.025

3.0630e − 06

1.9953

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