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