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Table 4 The convergence order and computational time for \(\mathrm {SP} _{2}\) at \(t=2\)

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

  Nodes 21 × 21 41 × 41 81 × 81
CFDS6-SSM Max (error) 1.7206e−04 1.3604e−06 2.5087e−08
Time (s) 24.018882 52.936624 121.629286
Order 6.982 5.761
E-CFDS6-SSM Max (error) 1.7280e−04 1.3614e−06 2.5088e−08
Time (s) 5.014861 12.554003 32.825120
Order 6.988 5.762