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Boundary Value Problems

Table 5 The convergence order for R-CFDS4 at \(h=0.0025\pi \)

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 = 0.025

1.4098e − 05

 

τ = 0.0125

3.5244e − 06

2.0003

τ = 0.00625

8.8109e − 07

2.0001

τ = 0.003125

2.2027e − 07

2.0001

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