Skip to main content

Theory and Modern Applications

Table 1 The maximum and RMSEs of the velocity and pressure for Example 1 with different choices of Δ t on regular points

From: Stability results of a fractional model for unsteady-state fluid flow problem

Δ t

\(\boldsymbol {E_{\infty}}\)

RMSE

u

v

p

u

v

p

1/10

2.4645 × 10−4

2.4645 × 10−4

6.3263 × 10−4

9.9623 × 10−5

9.9623 × 10−5

4.2763 × 10−4

1/12

2.0197 × 10−4

2.0197 × 10−4

6.0606 × 10−4

8.1507 × 10−5

8.1507 × 10−5

4.0973 × 10−4

1/15

1.5990 × 10−4

1.5990 × 10−4

5.7928 × 10−4

6.3486 × 10−5

6.3486 × 10−5

3.9171 × 10−4

1/17

1.4065 × 10−4

1.4065 × 10−4

5.6661 × 10−4

5.5126 × 10−5

5.5126 × 10−5

3.8318 × 10−4

1/20

1.1888 × 10−4

1.1888 × 10−4

5.5232 × 10−4

4.5932 × 10−5

4.5932 × 10−5

3.7355 × 10−4