The Use of Cubic Splines in the Numerical Solution of Fractional Differential Equations

Table 3

Numerical results of Example 4.3.

𝑥	Exact solution	Approx. with 𝑧3	Error
0	0	0	0
0.125	0.015625	0.012842	2.78𝐸−3
0.250	0.062500	0.053552	8.95𝐸−3
0.375	0.140630	0.138569	2.06𝐸−3
0.500	0.250000	0.246192	3.81𝐸−3
0.625	0.390630	0.386836	3.79𝐸−3
0.750	0.562500	0.553883	8.62𝐸−3
0.875	0.765630	0.758442	7.19𝐸−3
1	1	0.999971	2.90𝐸−5