Table 1.

Numerical and analytical results for the values of ${\mathrm{R}\mathrm{e}}_t$, $\beta =0.021942857$ and $n=7$.

Reynolds no. ${\mathrm{R}\mathrm{e}}_t$	The value of k or $\beta {\mathrm{R}\mathrm{e}}_t^{\frac{n-2}{n}}$ for $n=7$ $\beta =0.021942857$	Series solution of $u^{″}\left(0\right)$	Numerical solution of $u^{″}\left(0\right)$	Errors of Percentage (%)
5000	9.6253	1.5490	1.5399	0.59
10,000	15.792	1.9842	1.9724	0.60
20,000	25.9094	2.5415	2.5264	0.60
30,000	34.6128	2.9375	2.9201	0.60
40,000	42.5088	3.2553	3.2361	0.59
50,000	49.854	3.5254	3.5045	0.60
60,000	56.7882	3.7626	3.7403	0.60
70,000	63.3983	3.9755	3.9520	0.59
80,000	69.7429	4.1697	4.1450	0.60
90,000	75.8644	4.3489	4.3231	0.60
100,000	81.7941	4.5156	4.4889	0.59
110,000	87.5564	4.6720	4.6443	0.60
120,000	93.1708	4.8195	4.7909	0.60
130,000	98.6529	4.9592	4.9298	0.60
140,000	104.0157	5.0922	5.0621	0.59
150,000	109.2701	5.2193	5.1883	0.60
160,000	114.4252	5.3410	5.3093	0.60
170,000	119.4891	5.4579	5.4255	0.60
180,000	124.4684	5.5704	5.5374	0.60
190,000	129.3694	5.6790	5.6454	0.60
200,000	134.1971	5.7840	5.7498	0.59