Theory and Modern Applications
h/τ | Iteration | Time | Maximum error | Average error | ||||
---|---|---|---|---|---|---|---|---|
HEGM | C–N | HEGM | C–N | HEGM | C–N | HEGM | C–N | |
\(h=\tau =\frac{1}{10}\) | 44 | 48 | 46.75 | 53.44 | 1.1762 ×10−2 | 1.1780 ×10−2 | 2.0762 ×10−3 | 2.0850 ×10−3 |
\(h=\tau =\frac{1}{14}\) | 44 | 52 | 152.45 | 188.46 | 8.5326 ×10−3 | 8.7058 ×10−4 | 9.1589 ×10−4 | 9.1579 ×10−4 |
\(h=\tau =\frac{1}{18}\) | 45 | 58 | 462.44 | 552.32 | 4.9486 ×10−3 | 4.9496 ×10−3 | 5.9148 ×10−4 | 5.9035 ×10−4 |
\(h=\tau =\frac{1}{22}\) | 48 | 56 | 828.46 | 1158.37 | 1.8846 ×10−3 | 1.8875 ×10−4 | 2.6648 ×10−4 | 2.6678 ×10−4 |