A Collocation Method for Solving Fractional Riccati Differential Equation

Table 1

Numerical result for Example 1.

𝑥	Exact; solution	Present Method
		𝑁=4	𝑁𝑒=4	𝑁=5	𝑁𝑒=5	𝑁=6	𝑁𝑒=6
0.0	0.000	0.000000	0.000𝐸−0	0.000000	0.000𝐸−0	0.00000	0.000𝐸−0
0.2	0.040	0.039985	0.150𝐸−4	0.040000	0.553𝐸−6	0.040000	0.740𝐸−8
0.4	0.160	0.159993	0.700𝐸−5	0.160000	0.352𝐸−6	0.160000	0.530𝐸−8
0.6	0.360	0.359996	0.446𝐸−5	0.360000	0.330𝐸−6	0.360000	0.497𝐸−8
0.8	0.640	0.63996	0.446𝐸−5	0.640000	0.337𝐸−6	0.640000	0.528𝐸−8
1.0	1.000	0.999998	0.219𝐸−5	1.000000	0.464𝐸−6	1.000000	0.673𝐸−8