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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 2 The maximum error and convergence order for Problem 2

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

2.50(−05)

     

1/8

1.29(−06)

4.28

6.25(−07)

 

1.14(−07)

 

1/16

8.04(−08)

4.00

2.40(−08)

4.70

1.88(−09)

5.92

1/32

–

–

1.19(−09)

4.33

2.99(−11)

5.97

1/48

–

–

2.10(−10)

4.28

2.60(−12)

6.02

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