Solving a Class of Singular Fifth-Order Boundary Value Problems Using Reproducing Kernel Hilbert Space Method

Table 4

The numerical results of Example 13.

𝑥	𝑢𝑇^(3)(𝑥)	𝑢^(3)100(𝑥)	|𝑢^(3)100(𝑥)−𝑢𝑇^(3)(𝑥)|	𝑢𝑇^(4)(𝑥)	𝑢^(4)100(𝑥)	|𝑢^(4)100(𝑥)−𝑢𝑇^(4)(𝑥)|
0.1	0.971215	0.971117	9.72528×10^−5	11.8289	11.8244	4.50235×10^−3
0.2	1.97221	1.9719	3.12435×10^−4	7.04361	7.0429	7.15499×10^−4
0.3	2.19979	2.19947	3.16007×10^−4	−3.23499	−3.2345	4.83768×10^−4
0.4	1.19534	1.19511	2.34524×10^−4	−17.4321	−17.431	1.09059×10^−3
0.5	−1.39212	−1.39222	1.05489×10^−4	−34.8029	−34.8014	1.46428×10^−3
0.6	−5.85595	−5.8559	5.44543×10^−5	−54.8995	−54.8978	1.72026×10^−3
0.7	−12.4526	−12.4524	2.36294×10^−4	−77.4172	−77.4153	1.90772×10^−3
0.8	−21.4126	−21.4122	4.34553×10^−4	−102.132	−102.13	2.05168×10^−3
0.9	−32.9466	−32.9459	6.45658×10^−4	−128.873	−128.871	2.16643×10^−3
1.0	−47.25	−47.2491	9.67158×10^−4	−157.5	−157.498	2.26074×10^−3