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

Table 1

Comparison of results, 𝑥∈[0,𝑑], 𝜀=2⁻¹⁰, and 𝑑=0.1.

𝑥	𝑢𝑇(𝑥)	𝑢100(𝑥)	|𝑢𝑇−𝑢100|	|𝑢𝑇−𝑢200|
0	0	0	0	0
0.01	−0.272864	−0.272866	1.8788 × 10^−6	7.48551 × 10^−7
0.02	−0.468765	−0.46877	5.38727 × 10^−6	1.15911 × 10^−7
0.03	−0.608251	−0.608257	6.10734 × 10^−6	1.17267 × 10^−7
0.04	−0.706254	−0.70626	5.54546 × 10^−6	1.01462 × 10^−7
0.05	−0.773632	−0.773636	4.52354 × 10^−6	8.05672 × 10^−7
0.06	−0.818281	−0.818285	3.45181 × 10^−6	6.04003 × 10^−7
0.07	−0.845955	−0.845958	2.49497 × 10^−6	4.30798 × 10^−7
0.08	−0.860849	−0.86085	1.66887 × 10^−6	2.84958 × 10^−7
0.09	−0.866029	−0.86603	8.9114 × 10^−7	1.50666 × 10^−7
0.1	−0.863746	−0.863746	3.33067 × 10^−16	2.22045 ×10^−7