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Theory and Modern Applications

Table 2c 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

3.37e–01

1.59

1.60

1.60

3.61e–01

8

1.0

1.0

1.0

1.37e–01

1.3

1.40

1.40

1.40

2.82e–02

3.7

16

1.0

1.0

1.0

2.57e–02

2.4

1.12

1.21

1.21

1.84e–03

3.9

32

1.0

1.0

1.0

2.40e–03

3.4

1.05

1.06

1.05

2.44e–04

3.1