Skip to main content

Theory and Modern Applications

Table 4 The maximum absolute error and convergence rate for Problem 3 with \(\operatorname{Re}=10^{2}\)

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

8.56(−03)

 

3.93(−04)

 

9.06(−05)

 

0.39

1/16

6.49(−04)

3.72

3.08(−06)

7.19

1.19(−06)

6.25

1.48

1/32

4.09(−05)

3.99

2.11(−08)

7.16

1.07(−08)

6.80

7.69

1/64

2.56(−06)

4.00

1.48(−10)

6.99

8.74(−11)

6.94

47.71