Skip to main content

Theory and Modern Applications

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