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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