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Theory and Modern Applications

Table 1g Errors and order for EEG-TOCS in Example 5.1 at \(\tau =0.01\)

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

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

\(\varTheta _{\infty }\)

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

\(\varTheta _{2}\)

4

1.59

0.82

1.02

7.41e–01

2.88e–01

8

1.35

0.74

1.13

9.09e–02

3.0

1.70e–02

4.1

16

1.17

0.82

1.07

8.07e–03

3.5

1.28e–03

3.7