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Theory and Modern Applications

Table 4a Errors and computational rate for the UM-FOCS in Example 5.4

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

Itr

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

\(\varTheta _{\infty }\)

4

1.00

1.00

1.00

0.01

0.01

0.01

20

3.78e–04

8

1.00

1.00

1.00

0.01

0.01

0.01

58

2.00e–05

3.9

16

1.00

1.00

1.00

0.01

0.01

0.01

145

1.14e–06

4.0