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Theory and Modern Applications

Table 3 The RMSEs of the velocity and pressure with regular nodes and fixed \(\pmb{\alpha=0.99}\) , \(\pmb{N=121}\) , \(\pmb{\Delta t=0.1}\) , \(\pmb{{Re}=100}\) at some time levels t for Example 2

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

t

u

v

p

0.1

1.7176 × 10−5

2.5966 × 10−5

4.9654 × 10−3

0.3

2.2558 × 10−5

5.2199 × 10−5

6.1420 × 10−3

0.5

2.7272 × 10−5

7.8739 × 10−4

6.4973 × 10−3

0.7

3.0502 × 10−5

1.0357 × 10−4

6.0118 × 10−3

1

3.3760 × 10−5

1.3715 × 10−4

4.8912 × 10−3

1.2

3.5518 × 10−5

1.5722 × 10−4

4.2616 × 10−3

1.5

3.7882 × 10−5

1.8404 × 10−4

3.6934 × 10−3

1.7

3.9256 × 10−5

1.9976 × 10−4

3.5532 × 10−3

2

4.0961 × 10−5

2.2016 × 10−4

3.5617 × 10−3