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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 1 The maximum error and convergence order for Problem 1

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

7.66(−04)

     

1/8

4.93(−05)

3.96

2.15(−05)

 

2.46(−07)

 

1/16

3.14(−06)

3.97

1.32(−06)

4.03

2.81(−09)

6.45

1/32

–

–

8.14(−08)

4.02

2.65(−11)

6.73

1/48

–

–

1.60(−08)

4.01

1.99(−12)

6.39

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