Theory and Modern Applications
t | Euler | RK2 | RK4 | |||
---|---|---|---|---|---|---|
\(\boldsymbol {h=\frac{1}{20}}\) | \(\boldsymbol {h=\frac{1}{50}}\) | \(\boldsymbol {h=\frac{1}{20}}\) | \(\boldsymbol {h=\frac{1}{50}}\) | \(\boldsymbol {h=\frac{1}{20}}\) | \(\boldsymbol {h=\frac{1}{50}}\) | |
0.1 | 7.548 × 10−3 | 4.463 × 10−3 | 5.315 × 10−5 | 2.421 × 10−5 | 1.253 × 10−8 | 1.007 × 10−8 |
0.2 | 9.157 × 10−3 | 6.128 × 10−3 | 1.173 × 10−4 | 6.548 × 10−5 | 2.427 × 10−8 | 1.568 × 10−8 |
0.3 | 1.253 × 10−2 | 8.421 × 10−3 | 2.074 × 10−4 | 1.104 × 10−4 | 3.523 × 10−8 | 2.123 × 10−8 |
0.4 | 2.107 × 10−2 | 1.058 × 10−2 | 3.433 × 10−4 | 2.352 × 10−4 | 4.602 × 10−8 | 3.312 × 10−8 |
0.5 | 3.257 × 10−2 | 2.108 × 10−2 | 5.541 × 10−4 | 3.425 × 10−4 | 5.928 × 10−8 | 4.986 × 10−8 |
0.6 | 4.369 × 10−2 | 3.249 × 10−2 | 8.845 × 10−4 | 5.124 × 10−4 | 8.100 × 10−8 | 6.253 × 10−8 |
0.7 | 5.578 × 10−2 | 4.823 × 10−2 | 1.405 × 10−3 | 7.461 × 10−4 | 1.241 × 10−7 | 8.159 × 10−8 |
0.8 | 8.457 × 10−2 | 6.467 × 10−2 | 2.229 × 10−3 | 1.253 × 10−3 | 2.180 × 10−7 | 1.109 × 10−7 |
0.9 | 1.253 × 10−1 | 8.812 × 10−2 | 3.539 × 10−3 | 1.895 × 10−3 | 4.209 × 10−7 | 2.542 × 10−7 |
1.0 | 2.346 × 10−1 | 1.439 × 10−1 | 5.637 × 10−3 | 2.764 × 10−3 | 8.506 × 10−7 | 4.864 × 10−7 |