Theory and Modern Applications
Table 2 The maximum and RMSEs of the velocity and pressure for Example 1 with different choices of Δ t on uneven 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 | 3.0612 × 10−4 | 2.8645 × 10−4 | 1.8238 × 10−5 | 1.1477 × 10−4 | 1.0439 × 10−4 | 5.0684 × 10−6 |
1/12 | 2.6126 × 10−4 | 2.4279 × 10−4 | 1.6974 × 10−5 | 9.6862 × 10−5 | 8.6452 × 10−5 | 4.4722 × 10−6 |
1/15 | 2.1589 × 10−4 | 1.9864 × 10−4 | 1.5693 × 10−5 | 7.9024 × 10−5 | 6.8521 × 10−5 | 4.0400 × 10−6 |
1/17 | 1.9435 × 10−4 | 1.7768 × 10−4 | 1.5083 × 10−5 | 7.0714 × 10−5 | 6.0142 × 10−5 | 3.9109 × 10−6 |
1/20 | 1.6998 × 10−4 | 1.5397 × 10−4 | 1.4392 × 10−5 | 6.1502 × 10−5 | 5.0831 × 10−5 | 3.8321 × 10−6 |