Theory and Modern Applications
Table 1 \(C_{1}\)-order of convergence for Test problem 1, when \(h=\frac{1}{8}\)
τ | γ = 0.5 | γ = 0.6 | ||
|---|---|---|---|---|
\(L_{\infty }\) | \(C_{1}\)-order | \(L_{\infty }\) | \(C_{1}\)-order | |
\(\tau =\frac{1}{10}\) | 6.9182 × 10−3 | – | 5.5331 × 10−3 | – |
\(\tau =\frac{1}{20}\) | 3.5625 × 10−3 | 0.96 | 2.9268 × 10−3 | 0.92 |
\(\tau = \frac{1}{40}\) | 1.8210 × 10−3 | 0.97 | 1.5059 × 10−3 | 0.98 |
\(\tau =\frac{1}{80}\) | 9.3190 × 10−4 | 0.97 | 7.5969 × 10−4 | 0.99 |