Theory and Modern Applications
h/τ | Iteration | Time | Maximum error | Average error | ||||
---|---|---|---|---|---|---|---|---|
HEGM | C–N | HEGM | C–N | HEGM | C–N | HEGM | C–N | |
\(h=\tau =\frac{1}{10}\) | 43 | 50 | 14.71 | 25.47 | 1.0779 ×10−1 | 1.3229 ×10−1 | 6.5071 ×10−2 | 6.7078 ×10−2 |
\(h=\tau =\frac{1}{14}\) | 45 | 53 | 56.87 | 97.87 | 9.72047 ×10−2 | 9.6072 ×10−2 | 5.5989 ×10−2 | 5.8080 ×10−2 |
\(h=\tau =\frac{1}{18}\) | 46 | 56 | 151.07 | 221.53 | 9.1148 ×10−2 | 9.4512 ×10−2 | 5.0646 ×10−2 | 5.1572 ×10−2 |
\(h=\tau =\frac{1}{22}\) | 44 | 57 | 342.85 | 435.62 | 8.74869 ×10−2 | 8.9345 ×10−2 | 4.74195 ×10−2 | 4.6185 ×10−2 |