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Table 1 The error of \(\|\boldsymbol{u}^{r}-U^{r}\|\) and \(\|\boldsymbol{u}^{r}-U^{r}\|_{\infty}\) with \(r=500\)

From: Numerical analysis of a linear second-order finite difference scheme for space-fractional Allen–Cahn equations

h \(\|\boldsymbol{u}^{r}-U^{r}\|\) Rate \(\|\boldsymbol{u}^{r}-U^{r}\|_{\infty}\) Rate
1/30 3.3505e–06 6.7561e–06
1/60 8.3413e–07 2.0060 1.6918e–06 1.9976
1/120 1.8260e–07 2.1916 3.6293e–07 2.2208
1/240 4.7483e–08 1.9432 7.6760e–08 2.2413