Theory and Modern Applications
Table 13 \(C_{1}\)-order of convergence for Example 2, when \(h=\frac{1}{8}\)
τ | γ = 0.5 | γ = 0.1 | ||
|---|---|---|---|---|
\(L_{\infty }\) | \(C_{1}\)-order | \(L_{\infty }\) | \(C_{1}\)-order | |
\(\tau =\frac{1}{10}\) | 1.9223 × 10−2 | – | 9.4036 × 10−3 | – |
\(\tau =\frac{1}{20}\) | 9.7960 ×10−3 | 0.97 | 5.1542 ×10−3 | 0.86 |
τ= \(\frac{1}{40}\) | 5.1042 ×10−3 | 0.94 | 2.5442 ×10−3 | 1.01 |
\(\tau =\frac{1}{80}\) | 2.5146 × 10−3 | 1.02 | 1.2420 × 10−3 | 1.03 |