Research Article
Parametric Identification for the Biased Ship Roll Motion Model Using Genocchi Polynomials
Table 2
Comparative Study of Genocchi polynomial, LWM, and HPM for roll angle with respect to the time
(in sec.).
| Time | Ex:4 | Ex:5 | Ex:6 | Ex:7 | | Genocchi polynomial | LWM | HPM | Genocchi polynomial | LWM | HPM | Genocchi polynomial | LWM | HPM | Genocchi polynomial | LWM | HPM |
| 0.0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0.1 | 1.000031 | 1.000031 | 1.000028 | 1.000031 | 1.000031 | 1.000028 | 1.000032 | 1.000032 | 1.000034 | 1.000032 | 1.000032 | 1.000034 | 0.2 | 1.000126 | 1.000126 | 1.000114 | 1.000126 | 1.000126 | 1.000114 | 1.000130 | 1.000130 | 1.000138 | 1.000130 | 1.000130 | 1.000138 | 0.3 | 1.000284 | 1.000284 | 1.000257 | 1.000283 | 1.000283 | 1.000257 | 1.000293 | 1.000293 | 1.000311 | 1.000292 | 1.000292 | 1.000310 | 0.4 | 1.000506 | 1.000506 | 1.000458 | 1.000504 | 1.000504 | 1.000457 | 1.000522 | 1.000522 | 1.000554 | 1.000520 | 1.000520 | 1.000552 | 0.5 | 1.000790 | 1.000790 | 1.000715 | 1.000787 | 1.000787 | 1.000715 | 1.000816 | 1.000816 | 1.000866 | 1.000812 | 1.000812 | 1.000862 | 0.6 | 1.001138 | 1.001138 | 1.001030 | 1.001134 | 1.001134 | 1.001029 | 1.001175 | 1.001175 | 1.001247 | 1.001170 | 1.001170 | 1.001242 | 0.7 | 1.001549 | 1.001549 | 1.001402 | 1.001543 | 1.001543 | 1.001401 | 1.001599 | 1.001599 | 1.001697 | 1.001593 | 1.001593 | 1.001691 | 0.8 | 1.002024 | 1.002024 | 1.001832 | 1.002016 | 1.002016 | 1.001830 | 1.002089 | 1.002089 | 1.002217 | 1.002081 | 1.002081 | 1.002209 | 0.9 | 1.002562 | 1.002562 | 1.002319 | 1.002552 | 1.002552 | 1.002317 | 1.002644 | 1.002644 | 1.002806 | 1.002633 | 1.002633 | 1.002795 | 1.0 | 1.003163 | 1.003163 | 1.002863 | 1.003150 | 1.003150 | 1.002860 | 1.003264 | 1.003264 | 1.003464 | 1.003251 | 1.003251 | 1.003451 |
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