A Collocation Method for Solving Fractional Riccati Differential Equation

Table 2

The numerical results with comparison HP and PM (𝑁=12).

𝑥	𝑦exact	𝑦HPM		𝑦PM
		𝛼=0.5	𝛼=1	𝛼=0.5	𝛼=1
0.0	0.000000	0.000000	0.000000	0.000000	0.000000
0.1	0.096668	0.273875	0.099668	0.329929	0.096668
0.2	0.197375	0.454125	0.197375	0.436741	0.197375
0.3	0.291313	0.573932	0.291312	0.504823	0.291313
0.4	0.379949	0.644422	0.379944	0.553733	0.379949
0.5	0.462117	0.674137	0.462078	0.591156	0.462117
0.6	0.537050	0.671987	0.536857	0.620983	0.537050
0.7	0.604368	0.648003	0.603631	0.645461	0.604368
0.8	0.664037	0.613306	0.661706	0.665998	0.664037
0.9	0.716298	0.579641	0.709919	0.683545	0.716298
1.0	0.761594	0.558557	0.746032	0.698852	0.761594