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Theory and Modern Applications

Table 3 The maximum error and convergence order for Problem 3

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

8.88(−05)

     

1/8

5.18(−06)

4.10

4.29(−07)

 

4.35(−08)

 

1/16

3.18(−07)

4.03

1.69(−08)

4.67

6.15(−10)

6.14

1/32

–

–

8.63(−10)

4.29

8.68(−12)

6.15

1/48

–

–

1.60(−10)

4.16

6.98(−13)

6.22