Theory and Modern Applications
Table 1 The absolute error of the 3-order approximation and the exact solution
t | Absolute error when y = 0.5, t = 0.01, h = −1, and α = 1 | Absolute error when x = 0.5, t = 0.01, h = −1, and α = 1 |
|---|---|---|
0 | 9.921881 × 10−7 | 2.607245 × 10−7 |
0.5 | 1.702236 × 10−5 | 1.702236 × 10−5 |
1 | 2.607245 × 10−7 | 9.921881 × 10−7 |
1.5 | 6.913822 × 10−6 | 7.076190 × 10−6 |
2 | 2.534162 × 10−6 | 2.783063 × 10−6 |
2.5 | 2.305783 × 10−7 | 3.045477 × 10−7 |
3 | 2.741436 × 10−7 | 2.651408 × 10−7 |
3.5 | 2.706178 × 10−7 | 2.751423 × 10−7 |
4 | 1.884674 × 10−7 | 1.936185 × 10−7 |
4.5 | 1.198279 × 10−7 | 1.235044 × 10−7 |
5 | 7.391757 × 10−8 | 7.627198 × 10−8 |