Theory and Modern Applications
Table 5 Maximum absolute error \((L_{\infty })\) when \(\alpha =1.85 \) for Example 2
h | \(\Delta t = h^{2} \) | INM [45] | Present method |
|---|---|---|---|
\(\frac{1}{4}\) | \(\frac{1}{16}\) | 0.1098 | 1.1966 × 10−2 |
\(\frac{1}{8}\) | \(\frac{1}{64}\) | 2.7616 × 10−2 | 2.9648 × 10−3 |
\(\frac{1}{16}\) | \(\frac{1}{256}\) | 6.7214 × 10−3 | 6.0262 × 10−4 |
\(\frac{1}{32}\) | \(\frac{1}{1024}\) | 1.6341 × 10−3 | 1.2834 × 10−4 |