The Solution of a Class of Third-Order Boundary Value Problems by the Reproducing Kernel Method

Table 5

The numerical results of Example 3.3.

𝑥	𝑢𝑇(𝑥)	𝑢100(𝑥)	|𝑢𝑇(𝑥)−𝑢100(𝑥)|	|𝑢^′𝑇(𝑥)−𝑢^′100(𝑥)|	|𝑢𝑇^′′(𝑥)−𝑢^′′100(𝑥)|	|𝑢𝑇^′′′(𝑥)−𝑢^′′′100(𝑥)|
0.0	0	0	0	2.11892×10^−5	5.34582×10^−5	2.49157×10^−2
0.1	0.110517	0.110518	1.06299×10^−6	6.59012×10^−6	4.42396×10^−6	2.85088×10^−4
0.3	0.404958	0.404962	4.25342×10^−6	3.27006×10^−5	2.16465×10^−4	1.15677×10^−3
0.5	0.824361	0.824376	1.51582×10^−5	7.46045×10^−5	1.67531×10^−4	8.58014×10^−4
0.7	1.40963	1.40966	3.24736×10^−5	9.40379×10^−5	3.75442×10^−5	5.12073×10^−4
0.8	1.78043	1.78047	4.20348×10^−5	9.71987×10^−5	3.89027×10^−5	5.59346×10^−4
0.9	2.21364	2.21369	5.20699×10^−5	1.05201×10^−4	1.40742×10^−4	1.08743×10^−3
1.0	2.71828	2.71835	6.36065×10^−5	1.27213×10^−4	1.9082×10^−4	1.07270×10^−2