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Theory and Modern Applications

Table 4 The convergence order and computational time for \(\mathrm {SP} _{2}\) 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

41 × 41

81 × 81

CFDS6-SSM

Max (error)

1.7206e−04

1.3604e−06

2.5087e−08

Time (s)

24.018882

52.936624

121.629286

Order

–

6.982

5.761

E-CFDS6-SSM

Max (error)

1.7280e−04

1.3614e−06

2.5088e−08

Time (s)

5.014861

12.554003

32.825120

Order

–

6.988

5.762