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Table 7 The convergence order and computational time for \(\mathrm {SP} _{4}\) 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 × 21 41 × 41 × 41 81 × 81 × 81
CFDS6-SSM Max (error) 2.7607e−04 4.5042e−06 7.1814e−08
Time (s) 10.010231 40.045140 89.493375
Order 5.937 5.971
E-CFDS6-SSM Max (error) 7.7141e−04 4.2592e−06 7.1633e−08
Time (s) 5.005856 10.031937 22.965542
Order 7.501 5.894