Numerical Solution of Seventh-Order Boundary Value Problems by a Novel Method

Table 3

Numerical results for Example 11 (time (s): 3.123).

𝑥	Exact solution	Approximate solution	Absolute error
0.0	0.0	0.0	0.0
0.1	0.099465382626808286232	0.099465382626808285898	3.34𝐸−19
0.2	0.19542444130562717342	0.19542444130562716451	8.91𝐸−18
0.3	0.28347034959096065184	0.28347034959096048526	1.6658𝐸−16
0.4	0.35803792743390487627	0.35803792743390483786	3.841𝐸−17
0.5	0.41218031767503203670	0.41218031767503200826	2.844𝐸−17
0.6	0.43730851209372215398	0.43730851209372205668	9.730𝐸−17
0.7	0.42288806856880006954	0.42288806856879998460	8.494𝐸−17
0.8	0.35608654855879481674	0.35608654855879479280	2.394𝐸−17
0.9	0.22136428000412546974	0.22136428000412540564	6.410𝐸−17
1.0	0.0	1.24053𝐸−20	1.24053𝐸−20