Boundary Value Problems

Table 11 The convergence order for R-ADI-CFDS4 at \(\tau =0.0001\)

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
\({h_{x}} = {h_{y}} = 0.1\pi \)	2.9853e − 06
\({h_{x}} = {h_{y}} = 0.05\pi \)	1.8597e − 07	4.0047
\({h_{x}} = {h_{y}} = 0.025\pi \)	1.1557e − 08	4.0082
\({h_{x}} = {h_{y}} = 0.0125\pi \)	6.6468e − 10	4.1199

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