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

Table 1

The numerical results of Example 12.

𝑥	𝑢𝑇(𝑥)	𝑢100(𝑥)	|𝑢20(𝑥)−𝑢𝑇(𝑥)|	|𝑢40(𝑥)−𝑢𝑇(𝑥)|	|𝑢100(𝑥)−𝑢𝑇(𝑥)|	|𝑢^′100(𝑥)−𝑢^′𝑇(𝑥)|
0	0	0	0	0	0	0
0.08	−0.00150556	−0.00149854	3.11533×10^−4	2.12134×10^−4	7.01613×10^−6	4.26411×10^−5
0.16	−0.00300419	−0.00299716	5.86206×10^−4	4.03105×10^−4	7.02601×10^−6	3.96519×10^−5
0.24	−0.000739712	−0.000738437	1.36893×10^−4	1.08655×10^−4	1.27471×10^−6	1.06360×10^−4
0.32	0.00926282	0.00925363	1.38316×10^−3	9.02756×10^−4	9.18729×10^−6	1.59425×10^−4
0.4	0.0316161	0.0315926	4.00907×10^−3	2.65016×10^−3	2.34247×10^−5	1.93257×10^−4
0.48	0.0717954	0.0717548	7.49348×10^−3	4.96714×10^−3	4.06485×10^−5	2.28313×10^−4
0.56	0.136337	0.136276	1.13395×10^−3	7.52215×10^−3	6.03524×10^−5	2.58664×10^−4
0.64	0.23304	0.232959	1.48395×10^−3	9.84568×10^−3	8.01808×10^−5	2.77257×10^−4
0.72	0.371189	0.371084	1.71134×10^−3	1.13541×10^−3	1.04886×10^−4	2.93384×10^−4
0.8	0.561801	0.561673	1.71481×10^−3	1.13757×10^−3	1.27883×10^−4	3.40704×10^−4
0.88	0.817902	0.817739	1.38345×10^−3	9.1769×10^−3	1.63033×10^−4	6.89140×10^−4
0.96	1.15484	1.15458	5.99608×10^−3	3.97735×10^−3	2.60877×10^−4	1.51714×10^−3