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Table 2 Comparing the errors with different types of norms and quasi-norms for Example 2 with \(p = 1.5\) and \(s = 0.6\) for SMRPI and EFG methods

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

h   \(\frac{1}{4}\) \(\frac{1}{8}\) \(\frac{1}{16}\) \(\frac{1}{32}\) \(\frac{1}{64}\)
\(|u-u_{h}|_{1,p}\) EFG 7.135 × 10−3 3.352 × 10−3 1.612 × 10−3 7.856 × 10−4 3.908 × 10−4
SMRPI 3.321 × 10−1 6.632 × 10−4 8.286 × 10−6 4.151 × 10−6 7.194 × 10−7
\(|u-u_{h}|_{u,p}\) EFG 9.129 × 10−3 4.456 × 10−3 2.125 × 10−3 1.010 × 10−4 4.915 × 10−4
SMRPI 4.225 × 10−1 2.025 × 10−4 7.887 × 10−6 9.301 × 10−7 1.811 × 10−7
\(|\sigma -\sigma _{h}|_{0,q}\) EFG 1.094 × 10−2 6.371 × 10−3 3.518 × 10−3 1.825 × 10−4 9.108 × 10−4
SMRPI 4.521 × 10−1 2.012 × 10−3 8.986 × 10−5 9.103 × 10−6 1.129 × 10−6
\(|\sigma -\sigma _{h}|_{\sigma ,q}\) EFG 7.023 × 10−3 3.527 × 10−3 1.704 × 10−3 8.150 × 10−4 3.971 × 10−4
SMRPI 3.884 × 10−1 1.938 × 10−3 6.416 × 10−5 5.553 × 10−6 1.112 × 10−6