Theory and Modern Applications
Table 2 Exact and approximate result of Test example 4.2 with various values of α
From: An optimal method for approximating the delay differential equations of noninteger order
x | OHAM | Exact | Absolute error | ||
|---|---|---|---|---|---|
α = 2.6 | α = 2.8 | α = 3 | |||
0.0 | 1.0 | 1.0 | 1.0 | 1.0 | 0.0 |
0.2 | 0.919879 | 0.91993 | 0.91996 | 0.92 | 0.00003957 |
0.4 | 0.679283 | 0.679518 | 0.679683 | 0.68 | 0.00031677 |
0.6 | 0.278073 | 0.278548 | 0.278943 | 0.28 | 0.00105659 |
0.8 | −0.283555 | −0.28302 | −0.282416 | −0.28 | 0.00241631 |
1.0 | −1.00486 | −1.00489 | −1.00437 | −1.0 | 0.00437343 |