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Table 2 The convergence order and computational time for \(\mathrm {SP} _{1}\) at \(t=1\)

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

  Nodes 11 × 11 21 × 21 41 × 41
CFDS6-SSM Max (error) 0.0441 2.1770e−04 1.3977e−06
Time (s) 10.099649 126.587866 416.107510
Order 7.662 7.283
E-CFDS6-SSM Max (error) 0.0197 5.9319e−05 1.1370e−06
Time (s) 1.091099 51.221890 234.497833
Order 8.375 5.705