Theory and Modern Applications
Table 12 \(C_{1}\)-order of convergence for Example 1, when \(h=\frac{1}{8}\)
τ | γ = 0.5 | γ = 0.75 | ||
|---|---|---|---|---|
\(L_{\infty }\) | \(C_{1}\)-order | \(L_{\infty }\) | \(C_{1}\)-order | |
\(\tau =\frac{1}{10}\) | 7.5050 × 10−3 | – | 3.9019 × 10−3 | – |
\(\tau =\frac{1}{20}\) | 3.8462 ×10−3 | 0.96 | 2.1660 ×10−3 | 0.86 |
τ= \(\frac{1}{40}\) | 1.9623 ×10−3 | 0.97 | 1.1278 ×10−3 | 0.94 |
\(\tau =\frac{1}{80}\) | 9.9769 × 10−4 | 0.98 | 5.8404 × 10−4 | 0.95 |