Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 2 The approximate results for the pure second derivative

From: A fourth order accurate approximation of the first and pure second derivatives of the Laplace equation on a rectangle

h	\(\Vert \omega-\omega_{h}\Vert \)	\(\Re_{\omega}^{m}\)
\(\frac{1}{8}\)	3.149059928597543772878E − 6
\(\frac{1}{16}\)	1.931058119052719414451E − 7	16.31
\(\frac{1}{32}\)	1.180485369727342048019E − 8	16.36
\(\frac{1}{64}\)	7.211217140499053022025E − 10	16.37
\(\frac{1}{128}\)	4.404326492162507264392E − 11	16.37

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