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Boundary Value Problems

Table 4 The convergence order for R-CFDS4 at \(\tau = 0.0002\)

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

Spatial step size

Maximum error

Convergence order

h = 0.1π

1.1028e − 05

 

h = 0.05π

6.8638e − 07

4.0060

h = 0.025π

4.2021e − 08

4.0298

h = 0.0125π

1.7803e − 09

4.5609

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