Theory and Modern Applications
Table 6 Maximum absolutes (\(L_{\infty}\)) for Example 1 at \(t=1\) with \(\Delta t=h^{2}\) and \(z \in[0,1]\)
h | α = 0.25 | α = 0.5 | α = 0.75 |
|---|---|---|---|
\(\frac{1}{4}\) | 3.5449 × 10−4 | 6.8582 × 10−4 | 2.6160 × 10−4 |
\(\frac{1}{8}\) | 8.8562 × 10−5 | 1.5535 × 10−4 | 7.0858 × 10−5 |
\(\frac{1}{16}\) | 2.1568 × 10−5 | 3.4386 × 10−5 | 1.8055 × 10−5 |
\(\frac{1}{32}\) | 5.2803 × 10−6 | 7.7057 × 10−6 | 4.5317 × 10−6 |