New Derivative Based Open Newton-Cotes Quadrature Rules

Table 8

Computational cost for evaluating ∫²₀𝑒^−𝑥2𝑑𝑥.

Formula	Order	𝑁	FE in composite form	DE in composite form	Total
ONC
𝑛=0	2	51640	25820	0	25820
𝑛=1	2	63246	42164	0	42164
𝑛=2	4	416	312	0	312
𝑛=3	4	475	380	0	380
𝑛=4	6	96	80	0	80
ONC2
𝑛=0	4	294	147	2	149
𝑛=1	6	54	36	38	74
𝑛=2	8	28	21	16	37
𝑛=3	10	20	16	18	34
𝑛=4	12	18	15	14	29
ONC4
𝑛=0	4	294	147	2	149
𝑛=1	4	381	254	2	256
𝑛=2	6	72	54	2	56
𝑛=3	6	80	64	2	66
𝑛=4	8	36	30	2	32