Theory and Modern Applications
h/τ | Iteration | Time | Maximum error | Average error | ||||
---|---|---|---|---|---|---|---|---|
HEGM | C–N | HEGM | C–N | HEGM | C–N | HEGM | C–N | |
\(h=\tau =\frac{1}{10}\) | 41 | 39 | 17.39 | 15.67 | 1.0025 ×10−2 | 1.0025 ×10−2 | 2.7431 ×10−3 | 2.7423 ×10−3 |
\(h=\tau =\frac{1}{18}\) | 36 | 45 | 164.84 | 196.07 | 5.4258 ×10−3 | 5.4142 ×10−3 | 1.5410 ×10−3 | 1.5363 ×10−3 |
\(h=\tau =\frac{1}{22}\) | 36 | 41 | 387.83 | 421.71 | 4.4612 ×10−3 | 4.4652 ×10−3 | 1.2528 ×10−3 | 1.2530 ×10−3 |
\(h=\tau =\frac{1}{30}\) | 37 | 37 | 1602.14 | 1810.40 | 3.3128 ×10−3 | 3.3150 ×10−3 | 9.1139 ×10−4 | 9.1040 ×10−4 |