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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 5 The maximum error and convergence rate for Problem 3 with \(\operatorname{Re}=10^{4}\)

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)

 

4.17(−04)

 

7.80(−05)

 

0.94

1/16

4.89(−03)

1.62

4.38(−06)

6.57

1.01(−06)

6.27

4.03

1/32

1.74(−03)

1.49

3.84(−08)

6.84

9.11(−09)

6.79

29.42

1/64

2.81(−04)

2.63

3.28(−10)

6.87

7.78(−11)

6.87

119.64

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