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Table 4 The RMS errors and convergence rate of the velocity and pressure obtained in solving test problem 2 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

3.3935 × 10−4

4.2293 × 10−4

2.8988 × 10−3

–

–

–

1/12

2.7347 × 10−4

3.4414 × 10−4

2.3473 × 10−3

1.1838

1.1307

1.1575

1/15

2.0839 × 10−4

2.6582 × 10−4

1.8016 × 10−3

1.2180

1.1572

1.1857

1/17

1.7815 × 10−4

2.2914 × 10−4

1.5471 × 10−3

1.2526

1.1863

1.2168

1/20

1.4456 × 10−4

1.8801 × 10−4

1.2629 × 10−3

1.2856

1.2173

1.2489

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