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Theory and Modern Applications

Table 5c Errors and order for EF-EEG-TOCS in Example 5.5 at \(\epsilon =0.1\)

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

α

β

γ

Itr

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

\(\varTheta _{\infty }\)

4

0.90

0.90

1.00

1.00

1.00

1.00

9

5.04e–04

8

0.88

0.92

1.00

1.00

1.00

1.00

18

3.34e–05

3.9

16

0.90

1.00

1.00

1.00

1.00

1.00

26

2.15e–06

4.0