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

Table 2

The numerical results of Example 3.1.

𝑥	𝑢^′𝑇(𝑥)	𝑢^′500(𝑥)	|𝑢^′𝑇(𝑥)−𝑢^′500(𝑥)|	𝑢𝑇^′′(𝑥)	𝑢^′′500(𝑥)	|𝑢𝑇^′′(𝑥)−𝑢^′′500(𝑥)|
0.0	1	1	0	0	0.0000123873	0.0000123873
0.1	0.983602	0.983602	2.217025×10^−7	−0.342603	−0.342601	1.904429×10^−6
0.3	0.823414	0.823414	4.842037×10^−7	−1.33636	−1.33636	6.462399×10^−7
0.5	0.41218	0.412181	4.459369×10^−7	−2.88526	−2.88526	1.127018×10^−6
0.7	−0.382613	−0.382613	1.172353×10^−8	−5.21562	−5.21562	3.578872×10^−6
0.9	−1.74632	−1.74632	1.0452710×10^−6	−8.63321	−8.63321	6.928269×10^−6
1.0	−2.71828	−2.71828	1.8404898×10^−6	−10.8731	−10.8731	9.029439×10^−6