The Solution of a Class of Singularly Perturbed Two-Point Boundary Value Problems by the Iterative Reproducing Kernel Method

Table 3

Comparison of results, 𝑥∈[1−𝑑,1], 𝜀=2⁻¹⁰, and 𝑑=0.01.

𝑥	𝑢𝑇(𝑥)	𝑢10(𝑥)	|𝑢𝑇−𝑢10|	𝑢200(𝑥)	|𝑢𝑇−𝑢200|
0.991	−0.249439	−0.249431	8.11552 ×10^−6	−0.249439	2.72812 ×10^−9
0.992	−0.225227	−0.225219	7.75753 ×10^−6	−0.225227	3.72799 ×10^−9
0.993	−0.200201	−0.200194	7.17326 ×10^−6	−0.200201	4.18195 ×10^−9
0.994	−0.174338	−0.174331	6.40087 ×10^−6	−0.174338	4.18298 ×10^−9
0.995	−0.147609	−0.147604	5.47897 ×10^−6	−0.147609	3.82517 ×10^−9
0.996	−0.119989	−0.119984	4.44655 ×10^−6	−0.119989	3.20353 ×10^−9
0.997	−0.0914472	−0.0914438	3.34288 ×10^−6	−0.0914472	2.41376 ×10^−9
0.998	−0.0619555	−0.0619533	2.20746 ×10^−6	−0.0619555	1.55216 ×10^−9
0.999	−0.0314835	−0.0314825	1.07993 ×10^−6	−0.0314835	7.1531 ×10^−10
1.	−2.22045 × 10^−16	−3.62743 × 10^−17	1.8577 ×10^−16	−3.62852 × 10^−17	1.85759 ×10^−16