Theory and Modern Applications
Table 14 \(C_{1}\)-order of convergence for Example 3, when \(h=\frac{1}{8}\)
τ | γ = 0.5 | γ = 0.1 | ||
|---|---|---|---|---|
\(L_{\infty }\) | \(C_{1}\)-order | \(L_{\infty }\) | \(C_{1}\)-order | |
\(\tau =\frac{1}{10}\) | 1.56836 × 10−1 | – | 1.06481 × 10−1 | – |
\(\tau =\frac{1}{20}\) | 7.9683 ×10−2 | 0.97 | 5.3363 ×10−2 | 0.99 |
τ= \(\frac{1}{40}\) | 3.7875 ×10−2 | 1.07 | 2.6884 ×10−2 | 0.98 |
\(\tau =\frac{1}{80}\) | 2.00105 × 10−2 | 0.92 | 1.2946 × 10−2 | 1.05 |