Theory and Modern Applications
Table 2 Comparison between different errors E of Example 2
From: Lucas polynomials semi-analytic solution for fractional multi-term initial value problems
z | [38] | [44] | a = 1, b = 2, N = 10 | Exact |
|---|---|---|---|---|
0.1 | 0.05934820 | 0.05934300 | 2.9074⋅10−15 | 0.05934303 |
0.2 | 0.11014318 | 0.11013418 | 2.75252⋅10−14 | 0.11013421 |
0.3 | 0.15103441 | 0.15102438 | 2.28456⋅10−14 | 0.15102441 |
0.4 | 0.18048329 | 0.18047531 | 1.94317⋅10−14 | 0.18047535 |
0.5 | 0.19673826 | 0.19673463 | 5.55112⋅10−18 | 0.19673467 |
0.6 | 0.19780653 | 0.19780792 | 1.97675⋅10−14 | 0.19780797 |
0.7 | 0.18142196 | 0.18142718 | 2.36283⋅10−14 | 0.18142725 |
0.8 | 0.14500893 | 0.14501532 | 2.90212⋅10−14 | 0.14501540 |
0.9 | 0.08564186 | 0.08564623 | 3.13083⋅10−15 | 0.08564632 |