Theory and Modern Applications
Table 3 Exact and approximate result of Test example 4.3 with various values of α
From: An optimal method for approximating the delay differential equations of noninteger order
x | t | OHAM | Exact | Absolute error | ||
|---|---|---|---|---|---|---|
α = 0.6 | α = 0.8 | α = 1 | ||||
0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 |
0.1 | 0.5 | 0.0178562 | 0.0168908 | 0.0169655 | 0.0164872 | 0.00036012 |
0.2 | 0.4 | 0.0604893 | 0.0563649 | 0.0526897 | 0.059673 | 0.00132258 |
0.3 | 0.3 | 0.128792 | 0.119251 | 0.111414 | 0.121487 | 0.00264091 |
0.4 | 0.2 | 0.214072 | 0.197597 | 0.185379 | 0.195424 | 0.00374867 |
0.5 | 0.1 | 0.305741 | 0.28374 | 0.269828 | 0.276293 | 0.00350894 |