Numerical Solution of Some Differential Equations with Henstock–Kurzweil Functions

Table 1

Numerical results for the example 1 with different values of .

Trapezoid			Lobatto
24	0.1160	0.0129	0.0133	0.0132
25	0.1105	0.0025	0.0025	0.0025
28	0.1366	0.0077	0.0076	0.0076
29	0.1600	0.0042	0.0043	0.0042
57	0.8629	0.0032	0.0032	0.0032
88	7.6738	0.0769	0.0741	0.0731
89	8.1056	0.0103	0.0102	0.0103
100	100.9334	0.0133	0.0135	0.0135
111	10.4801	0.0164	0.0167	0.0164
152	5.2819	0.1396	0.1541	0.1257
171	8.0889	0.0270	0.0293	0.0262
172	7.8753	0.1173	0.1205	0.1133
200	366.3114	4.4905	6.3352	3.0698
201	74.8573	0.9151	0.6741	0.6319