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Table 4 Comparing typical errors for Example 4 for SMRPI and EFG methods

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

h   \(\frac{1}{8}\) \(\frac{1}{16}\) \(\frac{1}{32}\)
  EFG SMRPI EFG SMRPI EFG SMRPI
p = 1.1 \(|u-u_{h}|_{0,p}\) 1.570 × 10−1 1.775 × 10−3 4.557 × 10−3 1.572 × 10−5 2.155 × 10−3 5.141 × 10−6
\(|u-u_{h}|_{1,p}\) 2.949 × 10−1 4.448 × 10−3 8.557 × 10−2 1.225 × 10−5 4.047 × 10−3 4.311 × 10−6
\(|u-u_{h}|_{u,p}\) 2.237 × 10−2 3.971 × 10−3 1.162 × 10−2 1.588 × 10−4 1.936 × 10−2 1.685 × 10−5
p = 2 \(|u-u_{h}|_{0,p}\) 1.582 × 10−3 5.595 × 10−4 2.509 × 10−4 1.411 × 10−6 2.509 × 10−4 1.411 × 10−6
\(|u-u_{h}|_{1,p}\) 3.163 × 10−2 1.658 × 10−3 1.643 × 10−2 5.125 × 10−5 2.738 × 10−3 1.091 × 10−6
p = 11.0 \(|u-u_{h}|_{0,p}\) 3.681 × 10−2 5.849 × 10−3 2.038 × 10−2 5.985 × 10−5 6.523 × 10−3 1.258 × 10−6
\(|u-u_{h}|_{1,p}\) 3.921 × 10−2 1.582 × 10−4 2.171 × 10−2 5.781 × 10−6 7.164 × 10−3 2.478 × 10−6
\(|u-u_{h}|_{u,p}\) 2.775 × 10−2 8.520 × 10−3 7.711 × 10−3 4.112 × 10−4 3.487 × 10−3 6.632 × 10−5