Table 2.

Numerical and analytical results for the values of ${\mathrm{R}\mathrm{e}}_t$, $\beta =0.11552$ and $n=5$.

Reynolds no. ${\mathrm{R}\mathrm{e}}_t$	The value of k or $\beta {\mathrm{R}\mathrm{e}}_t^{\frac{n-2}{n}}$ for $n=5$$\beta =0.11552$	Series solution of $u^{″}\left(0\right)$	Numerical solution of $u^{″}\left(0\right)$	Errors of Percentage (%)
5000	19.1443	2.1846	2.1717	0.59
10,000	29.0173	2.6896	2.6737	0.59
20,000	43.982	3.3113	3.2917	0.6
30,000	56.0957	3.7396	3.7174	0.6
40,000	66.6643	4.0767	4.0525	0.6
50,000	76.2148	4.3589	4.3331	0.6
60,000	85.0253	4.604	4.5767	0.6
70,000	93.2644	4.8219	4.7933	0.6
80,000	101.0441	5.019	4.9892	0.6
90,000	108.4433	5.1995	5.1687	0.6
100,000	115.52	5.3664	5.3347	0.59
110,000	122.3187	5.5221	5.4894	0.6
120,000	128.8742	5.6681	5.6346	0.59
130,000	135.2145	5.8059	5.7715	0.6
140,000	141.3624	5.9364	5.9013	0.59
150,000	147.337	6.0606	6.0247	0.6
160,000	153.1543	6.1791	6.1425	0.6
170,000	158.8278	6.2925	6.2552	0.6
180,000	164.3693	6.4013	6.3634	0.6
190,000	169.7889	6.506	6.4674	0.6
200,000	175.0956	6.6069	6.5677	0.6