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Theory and Modern Applications

Table 3a Errors and order for UM-FOCS and EEG-TOCS in Example 5.3

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

9.06e–04

1.20

1.30

1.30

8.75e–05

8

1.0

1.0

1.0

5.96e–05

3.9

1.20

1.10

1.10

5.86e–06

3.9

16

1.0

1.0

1.0

3.69e–06

4.0

1.10

1.10

1.00

7.34e–07

3.0