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Table 2 The RMS errors and convergence rate of the velocity and pressure obtained in solving test problem 1 for different values of \(\Delta t\) with random points

From: The meshless local Petrov–Galerkin method based on moving Kriging interpolation for solving the time fractional Navier–Stokes equations

\(\Delta t\)

\(\Delta x =\Delta y = 1/10\)

Convergence rate

u

v

p

u

v

p

1/10

1.1461 × 10−4

1.0447 × 10−4

4.6520 × 10−6

–

–

–

1/12

9.6714 × 10−5

8.6530 × 10−5

4.1804 × 10−6

0.9312

1.0334

0.5863

1/15

7.8888 × 10−5

6.8595 × 10−5

3.8668 × 10−6

0.9130

1.0409

0.3495

1/17

7.0584 × 10−5

6.0213 × 10−5

3.7879 × 10−6

0.8886

1.0413

0.1647

1/20

6.1379 × 10−5

5.0900 × 10−5

3.7583 × 10−6

0.8598

1.0339

0.0483

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