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

Table 4

Numerical results of Example 4.4.

𝑥	Exact solution	Approx. solution	Error
0.125	−0.00021	−0.00039	1.73𝐸−4
0.250	−0.00292	−0.00346	5.35𝐸−4
0.375	−0.01235	−0.01316	7.98𝐸−4
0.500	−0.03125	−0.03192	6.74𝐸−4
0.625	−0.05722	−0.05713	−9.50𝐸−5
0.750	−0.07910	−0.07732	−1.78𝐸−3
0.875	−0.07327	−0.06985	−3.42𝐸−3
1	0	9.44𝐸−4	−9.44𝐸−4