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Theory and Modern Applications

Table 5b Errors and order for UM-FOCS in Example 5.5 at \(\epsilon =0.1\)

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

10

1.04e–03

8

1.00

1.00

1.00

0.01

0.01

0.01

21

9.07e–05

3.5

16

1.00

1.00

1.00

0.01

0.01

0.01

31

5.60e–06

4.0