Theory and Modern Applications
Table 2 \(C_{1}\)-order of convergence for Test problem 3, when \(h=\frac{1}{8}\)
τ | γ = 0.5 | γ = 0.6 | ||
|---|---|---|---|---|
\(L_{\infty }\) | \(C_{1}\)-order | \(L_{\infty }\) | \(C_{1}\)-order | |
\(\tau =\frac{1}{10}\) | 1.7170 × 10−2 | – | 9.1171 × 10−3 | – |
\(\tau =\frac{1}{20}\) | 8.8342 × 10−3 | 0.96 | 4.8390 × 10−3 | 0.91 |
\(\tau =\frac{1}{40}\) | 4.4698 × 10−3 | 0.98 | 2.4948 × 10−3 | 0.96 |
\(\tau =\frac{1}{80}\) | 2.2719 × 10−3 | 0.98 | 1.2749 × 10−3 | 0.97 |