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Theory and Modern Applications

Table 1c Errors for the EF-EEG-TOCS in Example 5.1

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

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

\(\varTheta _{\infty }\)

τ = 0.1

4

1.50

1.10

0.80

11

1

2

8.19e–04

8

1.20

1.10

0.90

9

1

2

8.45e–05

3.3

16

1.09

1.06

0.98

82

1

2

5.87e–06

3.8

τ = 0.01

4

1.60

1.40

0.90

1

1

1

2.80e–01

8

1.40

1.30

0.70

1

1

1

3.30e–02

3.1

16

1.20

1.30

0.80

1

1

1

1.84e–03

4.2