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Table 3 Comparing typical errors for Example 3 for SMRPI and EFG methods

From: An efficient meshless radial point collocation method for nonlinear p-Laplacian equation

h

 

\(\frac{1}{8}\)

\(\frac{1}{16}\)

 

EFG

SMRPI

EFG

SMRPI

p = 1.5

\(|u-u_{h}|_{0,p}\)

1.582 × 10−3

5.595 × 10−4

2.509 × 10−4

1.411 × 10−6

\(|u-u_{h}|_{1,p}\)

5.491 × 10−2

4.427 × 10−3

2.193 × 10−2

5.125 × 10−5

\(|u-u_{h}|_{u,p}\)

4.232 × 10−2

1.011 × 10−3

1.674 × 10−2

2.514 × 10−4

p = 4.0

\(|u-u_{h}|_{0,p}\)

5.514 × 10−3

1.144 × 10−5

1.407 × 10−3

5.985 × 10−6

\(|u-u_{h}|_{1,p}\)

8.098 × 10−2

1.402 × 10−4

2.656 × 10−2

9.948 × 10−6

\(|u-u_{h}|_{u,p}\)

1.151 × 10−1

2.221 × 10−2

4.856 × 10−2

5.552 × 10−4