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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