Table 4 Comparative analysis with absolute error of \(x\left(t\right), y\left(t\right)\text{and} z(t)\) between reference and LENN-FA-AOA solution for scenario 3.
\(t\) | \(x(t)\) | \(y(t)\) | \(z(t)\) | \(\widehat{x}(t)\) | \(\widehat{y}(t)\) | \(\widehat{z}(t)\) | \(A{E}_{x(t)}\) | \(A{E}_{y(t)}\) | \(A{E}_{z(t)}\) |
|---|---|---|---|---|---|---|---|---|---|
0 | 0.3 | 0.3 | 0.3 | 0.299994 | 0.299992 | 0.3 | 6.32E-06 | 8.31E-06 | 4.63E-07 |
0.1 | 0.299609 | 0.273955 | 0.324204 | 0.29961 | 0.273924 | 0.324208 | 1.3E-06 | 3.1E-05 | 3.25E-06 |
0.2 | 0.298486 | 0.249687 | 0.348856 | 0.298487 | 0.249635 | 0.348859 | 1.1E-06 | 5.17E-05 | 3.13E-06 |
0.3 | 0.296703 | 0.227014 | 0.374017 | 0.296694 | 0.226993 | 0.374003 | 9.17E-06 | 2.05E-05 | 1.32E-05 |
0.4 | 0.294325 | 0.205775 | 0.399751 | 0.294314 | 0.205781 | 0.399737 | 1.11E-05 | 6.19E-06 | 1.39E-05 |
0.5 | 0.291408 | 0.185829 | 0.426128 | 0.291407 | 0.185826 | 0.426134 | 1.8E-06 | 2.59E-06 | 6.48E-06 |
0.6 | 0.288006 | 0.167047 | 0.453219 | 0.288012 | 0.167021 | 0.453231 | 5.54E-06 | 2.66E-05 | 1.19E-05 |
0.7 | 0.284166 | 0.149318 | 0.481097 | 0.284166 | 0.149287 | 0.481081 | 2.11E-07 | 3.15E-05 | 1.63E-05 |
0.8 | 0.279929 | 0.132543 | 0.509841 | 0.279916 | 0.132529 | 0.509802 | 1.28E-05 | 1.36E-05 | 3.83E-05 |
0.9 | 0.275335 | 0.116633 | 0.539529 | 0.275317 | 0.116628 | 0.539526 | 1.75E-05 | 4.47E-06 | 3.25E-06 |
1 | 0.270418 | 0.101509 | 0.570244 | 0.270411 | 0.101495 | 0.570263 | 6.89E-06 | 1.39E-05 | 1.84E-05 |