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Theory and Modern Applications

Table 4 The maximum error and convergence order for Problem 4

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

2.53(−04)

     

1/8

1.64(−05)

3.95

1.17(−05)

 

2.75(−07)

 

1/16

1.04(−06)

3.98

6.12(−07)

4.26

2.95(−09)

6.54

1/32

–

–

3.64(−08)

4.07

2.78(−11)

6.73

1/48

–

–

7.09(−09)

4.03

2.01(−12)

6.48