A Reliable Analytical Method for Solving Higher-Order Initial Value Problems

Table 2

The values of different error functions at 𝑘=10 for different values of 𝑡.

𝑡𝑖	Ext^10(𝑡𝑖)	Res^10(𝑡𝑖)	Rel^10(𝑡𝑖)
10𝜋/20	0	0	0
11𝜋/20	5.55112×10^−17	2.77556×10^−16	1.02165×10^−16
12𝜋/20	5.55112×10^−17	1.22402×10^−14	9.61316×10^−17
13𝜋/20	1.66533×10^−16	3.54550×10^−13	2.80153×10^−16
14𝜋/20	7.21645×10^−16	4.08090×10^−12	1.23054×10^−15
15𝜋/20	8.43769×10^−15	2.88724×10^−11	1.54645×10^−14
16𝜋/20	6.28386×10^−14	1.49980×10^−10	1.35402×10^−13
17𝜋/20	3.41505×10^−13	6.27503×10^−10	1.02242×10^−12
18𝜋/20	1.47921×10^−12	2.23040×10^−9	1.00251×10^−11
19𝜋/20	5.38841×10^−12	6.96923×10^−9	5.22411×10^−11
20𝜋/20	1.71203×10^−11	1.96001×10^−8	4.01977×10^−11