Cubic Spline Collocation Method for Fractional Differential Equations

Table 2

The absolute errors of DSCM (𝜙₁=0.9,𝜙₂=0.98) and the methods reported in [10, 21]; 𝛼=0.75.

𝑡	Error by DSCM	Error by [21]	Error by [10]
0.03125	7.155734×10^−18	0.330128888907×10^−13	0.043283783288×10^−4
0.093750	1.040834×10^−17	0.347308987125×10^−13	0.115137021309×10^−4
0.187500	4.163336×10^−17	0.022967738822×10^−13	0.134008681836×10^−4
0.281250	9.714451×10^−16	0.198174809896×10^−13	0.145485346092×10^−4
0.375000	2.220446×10^−16	0.293931545769×10^−13	0.153757162245×10^−4
0.468750	3.885781×10^−16	0.221489493413×10^−13	0.160223410662×10^−4
0.562500	7.216450×10^−16	0.194289029309×10^−13	0.165528139359×10^−4
0.656250	9.436896×10^−16	0.170974345793×10^−13	0.170022170524×10^−4
0.750000	1.221245×10^−15	0.091038288019×10^−13	0.173918021056×10^−4
0.843750	1.665335×10^−15	0.119904086659×10^−13	0.177354280767×10^−4
0.937500	2.220446×10^−15	0.275335310107×10^−13	0.180426383865×10^−4