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

Table 4

Comparison of results, 𝑥∈[0,𝑑], and 𝑑=0.01

𝑥	𝑢𝑇(𝑥)	𝑢3,10(𝑥)	|𝑢𝑇−𝑢3,10|	𝑢𝑇(𝑥)	𝑢3,10(𝑥)	|𝑢𝑇−𝑢3,10|
	𝜀=2^−10	𝜀=2^−10	𝜀=2^−10	𝜀=2^−5	𝜀=2^−5	𝜀=2^−5
0.001	0.0324619	0.0324564	5.56236 ×10^−6	0.00628391	0.0062835	−4.09563 ×10^−7
0.002	0.063871	0.0638658	5.18059 ×10^−6	0.0125208	0.0125204	−3.72485 ×10^−7
0.003	0.0942614	0.0942567	4.67451 ×10^−6	0.0187109	0.0187106	−3.57056 ×10^−7
0.004	0.123666	0.123662	4.20082 ×10^−6	0.0248545	0.0248541	−3.30969 ×10^−7
0.005	0.152117	0.152113	3.72089 ×10^−6	0.0309517	0.0309514	−3.0024 ×10^−7
0.006	0.179645	0.179642	3.23223 ×10^−6	0.0370029	0.0370026	−2.61703 × 10^−7
0.007	0.20628	0.206277	2.78314 ×10^−6	0.0430082	0.043008	−2.14219 ×10^−7
0.008	0.232051	0.232049	2.18254 ×10^−6	0.048968	0.0489678	−1.56195 ×10^−7
0.009	0.256986	0.256984	2.14645 ×10^−6	0.0548823	0.0548822	−8.66593 ×10^−8