Euler-Maclaurin Method for Linear Differential Equations with Piecewise Constant Arguments with One Delay: Stability and Oscillations

Table 2

Errors and ratio for (38).

	Euler-Maclaurin method		𝜃-methods		2-Radau IA method
	AE	RE	AE	RE	AE	RE
𝑚=2	2.5585𝐸−9	4.7914𝐸−4	1.1595𝐸−5	2.1715𝐸+0	8.9866𝐸−7	1.6830𝐸−1
𝑚=3	2.1747𝐸−10	4.0727𝐸−5	3.5420𝐸−6	6.6330𝐸−1	2.6576𝐸−7	4.9800𝐸−2
𝑚=5	9.9800𝐸−12	1.8690𝐸−6	1.0695𝐸−6	2.0030𝐸−1	5.9321𝐸−8	1.1100𝐸−2
𝑚=10	1.5485𝐸−13	2.9000𝐸−8	2.4905𝐸−7	4.6600𝐸−2	7.7177𝐸−9	1.4000𝐸−3
𝑚=20	2.4153𝐸−15	4.5232𝐸−10	6.1184𝐸−8	1.1500𝐸−2	9.8799𝐸−10	1.8502𝐸−4
𝑚=40	3.7816𝐸−17	7.0819𝐸−12	1.5230𝐸−8	2.9000𝐸−3	1.2508𝐸−10	2.3424𝐸−5
Ratio	63.8698	63.8699	4.0173	3.9655	7.8989	7.8987