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

Table 2

Comparison of results, 𝑥∈[𝑑,1−𝑑], 𝜀=2⁻³⁰, and 𝑑=0.001.

𝑥	𝑢𝑇(𝑥)	𝑢100(𝑥)	|𝑢𝑇−𝑢10|	|𝑢𝑇−𝑢100|
0.001	−0.99999	−0.99999	1.51212 ×10^−13	4.71756 ×10^−12
0.1008	−0.903026	−0.903045	1.89196 × 10^−5	7.69723 ×10^−10
0.2006	−0.652715	−0.652709	5.8384 ×10^−6	1.58393 ×10^−10
0.3004	−0.344297	−0.344299	1.66259 ×10^−6	4.10425 ×10^−10
0.4002	−0.0951225	−0.0951222	3.12214 ×10^−7	2.67338 ×10^−10
0.5998	−0.0951225	−0.0951223	1.7619 ×10^−7	6.92579 ×10^−10
0.6996	−0.344297	−0.344298	1.11205 ×10^−6	2.66992 ×10^−10
0.7994	−0.652715	−0.652711	3.96364 ×10^−6	1.77961 ×10^−10
0.8992	−0.903026	−0.903039	1.27772 ×10^−5	6.22121 ×10^−8
0.999	−0.99999	−0.99999	6.67721 ×10^−12	1.91558 ×10^−12