Skip to main content

Theory and Modern Applications

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

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

h

CCD2 Scheme [1]

BCD Scheme

Error

Rate

Error

Rate

CPU

1/8

1.67(−04)

 

6.67(−05)

 

0.87

1/16

1.12(−06)

7.21

8.67(−07)

6.27

5.63

1/32

8.80(−09)

6.99

9.64(−09)

6.49

50.90

1/64

6.90(−11)

7.00

1.36(−10)

6.15

398.46