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Figure 14.
Maximal absolute differences (Δ n ) between the approximate solutions obtained by the homotopy analysis method and the numerical methods available in Mathematica software
| n | 1 | 3 | 5 |
|---|---|---|---|
| Δ n | 3.35·10-2 | 4.98·10-3 | 7.12·10-5 |
| n | 10 | 15 | 20 |
| Δ n | 1.40·10-6 | 2.99·10-8 | 3.71·10-9 |
Values of errors in the reconstruction of the exact solution (Δ n = ||ye – ŷn ||)
| n | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
| Δ n | 3.367·10-2 | 2.084·10-2 | 1.741·10-3 | 1.374·10-3 | 4.188·10-4 |
| n | 6 | 7 | 8 | 9 | 10 |
| Δ n | 5.135·10-5 | 1.785·10-5 | 9.227·10-5 | 2.483·10-6 | 4.230·10-7 |
| n | 11 | 12 | 13 | 14 | 15 |
| Δ n | 6.678·10-8 | 2.612·10-8 | 1.181·10-8 | 3.571·10-9 | 8.398·10-10 |