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

Table 7

The numerical results of Example 3.5.

𝑥	𝑢𝑇	𝑢20	|𝑢𝑇−𝑢20|	𝑢^′𝑇	𝑢^′20	|𝑢^′𝑇−𝑢^′20|	|𝑢𝑇^′′−𝑢^′′20|
0.08	0.000256	0.00025618	1.87335×10^−7	0.0096	0.009597	3.13184×10^−6	1.14007×10^−5
0.16	0.002048	0.0020481	1.72967×10^−7	0.0384	0.038399	8.39162×10^−7	2.89347×10^−5
0.24	0.006912	0.0069121	1.38265×10^−7	0.0864	0.0864	1.89713×10^−7	1.24163×10^−5
0.32	0.016384	0.0163841	1.13116×10^−7	0.1536	0.1536	2.05885×10^−7	5.02804×10^−7
0.4	0.032000	0.0320001	9.39829×10^−8	0.2400	0.2400	2.21979×10^−7	1.40284×10^−6
0.48	0.055296	0.0552961	7.77508×10^−8	0.3456	0.3456	1.93052×10^−7	5.56607×10^−7
0.56	0.087808	0.0878081	6.38527×10^−8	0.4704	0.4704	1.60088×10^−7	3.15123×10^−7
0.64	0.131072	0.131072	5.21361×10^−8	0.6144	0.6144	1.33773×10^−7	3.10240×10^−7
0.72	0.186624	0.186624	4.23781×10^−8	0.7776	0.7776	1.13440×10^−7	1.75032×10^−7
0.8	0.256000	0.256000	3.44071×10^−8	0.9600	0.9600	9.20785×10^−8	3.49872×10^−7
0.88	0.340736	0.340736	2.78679×10^−8	1.1616	1.1616	4.41977×10^−8	3.00596×10^−8
0.96	0.442368	0.442368	2.08726×10^−8	1.3824	1.3824	2.08167×10^−8	9.08609×10^−6