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Table 10 The convergence order for R-CFDS4 at \(h=0.0025\)

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

1.6572e − 05

 

τ = 0.025

4.1433e − 06

1.9998

τ = 0.0125

1.0359e − 06

1.9997

τ = 0.00625

2.7897e − 07

1.8927