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Table 3 The RMS errors and convergence rate of the velocity and pressure obtained in solving test problem 2 for different values of \(\Delta t\) with regular 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

2.1744 × 10−4

3.0347 × 10−4

1.1725 × 10−2

–

–

–

1/12

1.7912 × 10−4

2.3433 × 10−4

1.0747 × 10−2

1.0633

1.4181

0.4777

1/15

1.4059 × 10−4

1.6391 × 10−4

9.7033 × 10−3

1.0854

1.6017

0.4578

1/17

1.2243 × 10−4

1.3050 × 10−4

9.1864 × 10−3

1.1050

1.8212

0.4374

1/20

1.0204 × 10−4

9.3123 × 10−5

8.5828 × 10−3

1.1209

2.0764

0.4182

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