Table 1. Development of relative error of LCM period for different integrators.
Integrator | RK4 | RK-Fehlberg |
Stepsize (h) | 0.01 | 0.001 |
Initial Relative Error ε(x 1) | 9.3×10−5 | 2.4×10−5 |
Initial Relative Error ε(x 2) | 3.7×10−5 | 9.7×10−4 |
Final Relative Error ε(x 1) | 0 | 0 |
Final Relative Error ε(x 2) | 0 | 0 |
The initial period in time has already a small relative error. This error disappears completely over subsequent periods.