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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 6 The maximum error and convergence rate for Problem 3 with \(\operatorname{Re}=10^{6}\)

From: A higher-order blended compact difference (BCD) method for solving the general 2D linear second-order partial differential equation

h

FOC scheme [8]

CCD2 scheme [1]

BCD scheme

Error

Rate

Error

Rate

Error

Rate

CPU

1/8

1.50(−02)

 

4.16(−04)

 

7.78(−05)

 

0.97

1/16

4.82(−03)

1.63

4.29(−06)

6.60

1.01(−06)

6.27

4.25

1/32

1.84(−03)

1.39

3.55(−08)

6.92

9.02(−09)

6.81

40.28

1/64

6.21(−04)

1.56

2.87(−10)

6.95

7.37(−11)

6.94

211.16

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