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Theory and Modern Applications

Table 6 Errors and order for UM-FOCS and EEG-TOCS in Example 5.6

From: Exponential basis and exponential expanding grids third (fourth)-order compact schemes for nonlinear three-dimensional convection-diffusion-reaction equation

L + 1

p

q

r

\(\mathfrak {l}_{2}^{ ( I,J,K )}\)

\(\varTheta _{\infty }\)

p

q

r

\(\mathfrak {l}_{2}^{ ( I,J,K )}\)

\(\varTheta _{\infty }\)

4

1.6

1.00

1.00

4.22e–03

1.5

1.00

1.30

7.54e–03

8

1.3

1.20

1.30

3.64e–04

3.5

1.1

1.20

1.10

7.58e–04

3.3

16

1.0

1.07

1.14

2.68e–05

3.8

1.0

1.11

1.18

6.57e–05

3.5