Skip to main content

Table 9 The convergence order and computational time for \(\mathrm {SP} _{6}\) at \(t=1\)

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

  Nodes 21 × 21 × 21 41 × 41 × 41 81 × 81 × 81
CFDS6-SSM Max (error) 3.9145e−04 7.0154e−06 1.1455e−07
Time (s) 20.035465 45.750996 90.070817
Order 5.802 5.936
E-CFDS6-SSM Max (error) 3.9128e−04 7.0141e−06 1.1455e−07
Time (s) 5.032226 10.448344 23.028154
Order 5.801 5.936