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

Table 3

The numerical results of Example 3.1.

𝑥	𝑢𝑇^(3)(𝑥)	𝑢^(3)500(𝑥)	|𝑢𝑇^(3)(𝑥)−𝑢^(3)500(𝑥)|	𝑢𝑇^(4)(𝑥)	𝑢^(4)500(𝑥)	|𝑢𝑇^(4)(𝑥)−𝑢^(4)500(𝑥)|
0.0	−3	−3.01001	0.010006	−8	−3.01001	4.98999
0.2	−4.93447	−4.93447	8.518423×10^−9	−11.53	−11.5489	0.0188419
0.4	−7.69782	−7.69782	5.477735×10^−8	−16.3504	−16.3771	0.0266921
0.6	−11.5887	−11.5887	1.335948×10^−8	−22.8858	−22.9229	0.0370827
0.8	−17.0031	−17.0031	1.724353×10^−8	−31.6917	−31.7423	0.050624
1.0	−24.4645	−24.4645	2.771117×10^−13	−43.4925	3.021444×10^−16	43.4925