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Theory and Modern Applications

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