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Table 1 Comparing errors with different types of norms and quasi-norms for Example 1 with \(p = 4.0\) 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 4.024 × 10−3 1.740 × 10−3 8.403 × 10−4 4.116 × 10−4 2.049 × 10−4
SMRPI 1.334 × 10−1 9.632 × 10−4 8.286 × 10−6 4.583 × 10−7 2.189 × 10−8
\(|u-u_{h}|_{u,p}\) EFG 3.758 × 10−3 1.657 × 10−3 7.986 × 10−4 3.924 × 10−4 1.954 × 10−4
SMRPI 1.004 × 10−1 6.520 × 10−4 7.601 × 10−6 4.113 × 10−7 1.398 × 10−7
\(|\sigma -\sigma _{h}|_{0,q}\) EFG 7.751 × 10−3 3.239 × 10−3 1.559 × 10−3 7.678 × 10−4 3.831 × 10−4
SMRPI 3.335 × 10−1 3.212 × 10−3 7.256 × 10−6 5.813 × 10−6 3.459 × 10−6
\(|\sigma -\sigma _{h}|_{\sigma ,q}\) EFG 8.527 × 10−3 3.573 × 10−3 1.715 × 10−3 8.422 × 10−4 4.197 × 10−4
SMRPI 3.884 × 10−1 7.932 × 10−3 9.886 × 10−5 5.983 × 10−6 3.289 × 10−7