Theory and Modern Applications
h/τ | Iteration | Time | Maximum error | Average error | ||||
---|---|---|---|---|---|---|---|---|
HEGM | C–N | HEGM | C–N | HEGM | C–N | HEGM | C–N | |
\(h=\tau =\frac{1}{10}\) | 46 | 53 | 16.59 | 19.23 | 3.9320 ×10−3 | 3.9473 ×10−3 | 2.2799 ×10−3 | 2.2815 ×10−3 |
\(h=\tau =\frac{1}{18}\) | 49 | 52 | 208.44 | 220.02 | 2.4058 ×10−3 | 2.4059 ×10−3 | 1.2545 ×10−3 | 1.2567 ×10−3 |
\(h=\tau =\frac{1}{22}\) | 48 | 57 | 514.81 | 603.56 | 2.0054 ×10−3 | 2.0087 ×10−3 | 1.0222 ×10−3 | 1.0258 ×10−3 |
\(h=\tau =\frac{1}{30}\) | 47 | 65 | 1902.32 | 2571.45 | 1.5041 ×10−3 | 1.5053 ×10−3 | 7.4966 ×10−4 | 7.5067 ×10−4 |