Research Article
Parametric Identification for the Biased Ship Roll Motion Model Using Genocchi Polynomials
Table 1
Comparative Study of Genocchi polynomial, LWM, and HPM for roll angle with respect to the time
(in sec).
| Time | Ex:1 | Ex:2 | Ex:3 | | Genocchi polynomial | LWM | HPM | Genocchi polynomial | LWM | HPM | Genocchi polynomial | LWM | HPM |
| 0.0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0.1 | 0.9926814 | 0.9926814 | 0.9930814 | 0.9992989 | 0.9992989 | 0.9993359 | 0.9993105 | 0.9993105 | 0.9993365 | 0.2 | 0.9707256 | 0.9707256 | 0.9723256 | 0.9971956 | 0.9971956 | 0.9973436 | 0.9972423 | 0.9972423 | 0.9973463 | 0.3 | 0.9341326 | 0.9341326 | 0.9377326 | 0.9936902 | 0.9936902 | 0.9940232 | 0.9937953 | 0.9937953 | 0.9940293 | 0.4 | 0.8829025 | 0.8829024 | 0.8893024 | 0.9887826 | 0.9887826 | 0.9893746 | 0.9889695 | 0.9889695 | 0.9893855 | 0.5 | 0.8170352 | 0.8170350 | 0.8270350 | 0.9824729 | 0.9824729 | 0.9833979 | 0.9827648 | 0.9827648 | 0.9834148 | 0.6 | 0.7365307 | 0.7365304 | 0.7509304 | 0.9747610 | 0.9747610 | 0.9760930 | 0.9751813 | 0.9751814 | 0.9761173 | 0.7 | 0.6413890 | 0.6413886 | 0.6609886 | 0.9656469 | 0.9656469 | 0.9674599 | 0.9662191 | 0.9662191 | 0.9674931 | 0.8 | 0.5316102 | 0.5316096 | 0.5572096 | 0.9551307 | 0.9551307 | 0.9574987 | 0.9558780 | 0.9558780 | 0.9575420 | 0.9 | 0.4071942 | 0.4071934 | 0.4395934 | 0.9432123 | 0.9432123 | 0.9462093 | 0.9441581 | 0.9441581 | 0.9462641 | 1.0 | 0.2681410 | 0.2681404 | 0.3081402 | 0.9298918 | 0.9298918 | 0.9335918 | 0.9310594 | 0.9310595 | 0.9336594 |
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