Theory and Modern Applications
Table 3 Second pure derivative approximation results
\(\boldsymbol{\frac{1}{h}}\) | \(\boldsymbol{\Vert w-w_{h}\Vert _{\overline{R}^{h}}}\) | \(\boldsymbol{E_{w}^{m}}\) |
|---|---|---|
\(\frac{1}{8}\) | 9.8243E − 7 | 15.21 |
\(\frac{1}{16}\) | 6.4587E − 8 | 16.21 |
\(\frac{1}{32}\) | 3.9850E − 9 | 16.36 |
\(\frac{1}{64}\) | 2.4361E − 10 | 16.37 |
\(\frac{1}{128}\) | 1.4879E − 11 |  |