Table 3 Errors compared with the exact solution for Example 3
m | h (mh = 2) | \(\max |x_n -x(t_n )|\) | \(\max |y_n -y(t_n )|\) |
|---|---|---|---|
10 | 0.2 | 2.49 × 10−2 | 1.25 × 10−2 |
100 | 0.02 | 4.22 × 10−4 | 2.11 × 10−4 |
1000 | 0.002 | 4.39 × 10−6 | 2.20 × 10−6 |
2000 | 0.001 | 1.10 × 10−6 | 5.50 × 10−7 |
4000 | 0.0005 | 2.76 × 10−7 | 1.38 × 10−7 |
8000 | 0.00025 | 6.89 × 10−8 | 3.45 × 10−8 |
16000 | 0.000125 | 1.72 × 10−9 | 8.60 × 10−10 |
106 | 2 × 10−6 | 5.42 × 10−12 | 2.71 × 10−12 |