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Theory and Modern Applications

Table 6 The convergence order and computational time for \(\mathrm {SP} _{3}\) 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

21 × 21

41 × 41

CFDS6-SSM

Max (error)

1.7091e−04

1.3605e−06

2.5092e−08

Time (s)

1.008504

24.672396

56.174196

Order

–

6.972

5.761

E-CFDS6-SSM

Max (error)

1.7344e−04

1.3630e−06

2.5095e−08

Time (s)

0.525925

11.531699

31.044471

Order

–

6.991

5.763