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Theory and Modern Applications

Table 2a Errors and order for UM-FOCS and EEG-TOCS in Example 5.2

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

1.0

1.0

1.0

1.81e–01

1.40

1.40

1.30

1.89e–01

8

1.0

1.0

1.0

3.65e–02

2.3

1.30

1.20

1.20

1.21e–02

4.0

16

1.0

1.0

1.0

3.40e–03

3.4

1.10

1.10

1.40

8.39e–04

3.8

32

1.0

1.0

1.0

2.15e–04

4.0

1.10

1.10

1.03

3.90e–05

4.4