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Table 8 The convergence order and computational time for \(\mathrm {SP} _{5}\) at \(t=2\)

From: An efficient high-order compact finite difference scheme based on proper orthogonal decomposition for the multi-dimensional parabolic equation

  Nodes 11 × 11 × 11 21 × 21 × 21 41 × 41 × 41
CFDS6-SSM Max (error) 0.0021 6.3364e−06 1.1076e−07
Time (s) 5.139907 121.805555 351.633034
Order 8.372 5.838
E-CFDS6-SSM Max (error) 3.6402e−04 4.0606e−06 1.1199e−07
Time (s) 1.008504 24.672396 56.174196
Order 6.486 5.761