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

Table 6

The numerical results of Example 3.4, 𝑝=𝑞=𝛽=1,𝛼=2,𝑘=2,𝑛=20.

𝑥	𝑢𝑇	𝑢20	|𝑢𝑇−𝑢20|	𝑢^′𝑇	𝑢^′20	|𝑢^′𝑇−𝑢^′20|	|𝑢𝑇^′′−𝑢^′′20|
0.08	−0.0286650	−0.0286650	5.20529×10^−9	0.0273871	0.0273873	2.32501×10^−7	7.75366×10^−6
0.16	−0.0255710	−0.0255710	6.94285×10^−9	0.0490631	0.0490632	7.15527×10^−8	2.10654×10^−6
0.24	−0.0209523	−0.0209523	9.70246×10^−9	0.0655842	0.0655842	1.41703×10^−8	5.37958×10^−7
0.32	−0.0152036	−0.0152035	9.39437×10^−9	0.0773741	0.0773741	1.84526×10^−8	3.37592×10^−7
0.48	−0.0017588	−0.0017588	1.71495×10^−9	0.0878568	0.0878567	8.12846×10^−8	4.48111×10^−7
0.56	0.00525584	0.00525583	6.04974×10^−9	0.0868185	0.0868184	1.11842×10^−7	4.02874×10^−7
0.64	0.0120206	0.0120205	1.65310×10^−8	0.0815939	0.0815937	1.53109×10^−7	6.25311×10^−7
0.72	0.0181958	0.0181957	3.10494×10^−8	0.0720489	0.0720486	2.13478×10^−7	9.11482×10^−7
0.88	0.0273346	0.0273346	8.10037×10^−8	0.0389010	0.0389005	4.47861×10^−7	1.32613×10^−6
0.96	0.0295066	0.0295065	1.25247×10^−7	0.0144477	0.0144469	8.40832×10^−7	9.84025×10^−6