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Theory and Modern Applications

Table 5 The maximum error and average convergence order for Problem 5

From: High-order blended compact difference schemes for the 3D elliptic partial differential equation with mixed derivatives and variable coefficients

h

Ananthakrishnaiah [24]

BCD4 scheme

BCD6 scheme

Error

Order

Error

Order

Error

Order

1/4

4.96(−06)

     

1/8

3.06(−07)

4.02

3.77(−07)

 

1.29(−08)

 

1/16

2.06(−08)

3.89

1.21(−08)

4.96

1.73(−10)

6.22

1/32

–

–

5.40(−10)

4.49

1.57(−12)

6.39

1/48

–

–

9.55(−11)

4.27

2.07(−13)

5.00