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Theory and Modern Applications

Table 1 The maximum absolute error and convergence rate of different discretization for Problem 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

5.97(−06)

 

1.64(−06)

 

0.84

1/16

1.56(−07)

5.26

2.04(−08)

6.33

4.38

1/32

3.14(−09)

5.63

1.96(−10)

6.70

22.40

1/64

5.75(−11)

5.77

1.82(−12)

6.75

104.80