Numerical Solution of Some Differential Equations with Henstock–Kurzweil Functions

Table 2

Relative error for different values of and . Example 1.

	Trapezoid			Lobatto
	, 200 nodes, 199 elements
100	0.5271	0.0403	0.0404	0.0403
200		0.0252	0.0250	0.0251
300	5.5736	0.0695	0.0686	0.0670
400		89.14032	43.0493	234.5809
500	6.6485	0.0307	0.0295	0.0254
1000		0.0400	0.0235	0.0234
	, 400 nodes, 399 elements
100	0.0959	0.0191	0.0192	0.0191
200	0.5558	0.0157	0.0158	0.0157
300	2.3303	0.0085	0.0090	0.0087
400		0.0119	0.0119	0.0118
500	6.4888	0.0074	0.0073	0.0076
1000	6.8514	0.0133	0.0110	0.0143