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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 2 The maximum absolute error and convergence rate for Problem 2 with \(\varepsilon = 10^{ - 1}\)

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

1.27(−04)

 

4.72(−05)

 

0.37

1/16

1.09(−06)

6.87

5.73(−07)

6.36

1.37

1/32

8.71(−09)

6.96

5.24(−09)

6.77

7.67

1/64

6.87(−11)

6.99

4.89(−11)

6.74

40.27

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