Table 4.

Numerical and analytical results for the values of $R{e}_t$, $\beta =0.11552$ 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 $n=5$ $\beta =0.11552$	Numerical solution of $u^{″}\left(0\right)$
5000	19.1443	2.1717
10,000	29.0173	2.6737
20,000	43.982	3.2917
30,000	56.0957	3.7174
40,000	66.6643	4.0525
50,000	76.2148	4.3331
60,000	85.0253	4.5767
70,000	93.2644	4.7933
80,000	101.0441	4.9892
90,000	108.4433	5.1687
100,000	115.52	5.3347
110,000	122.3187	5.4894
120,000	128.8742	5.6346
130,000	135.2145	5.7715
140,000	141.3624	5.9013
150,000	147.337	6.0247
160,000	153.1543	6.1425
170,000	158.8278	6.2552
180,000	164.3693	6.3634
190,000	169.7889	6.4674
200,000	175.0956	6.5677
210,000	180.2971	−0.7539
220,000	185.4005	0
230,000	190.4118	0
240,000	195.3367	0
250,000	200.1802	0
260,000	204.9468	0
270,000	209.6406	0
280,000	214.2654	0
290,000	218.8245	0
291,000	219.2769	0
292,000	219.7288	0
293,000	220.1799	0
294,000	220.6305	0
295,000	221.0805	0
296,000	221.5298	0
297,000	221.9786	0
298,000	222.4267	0
299,000	222.8742	0
299,200	222.9637	0
299,355	223.033	0
299,360	223.0352	0
299,365	223.0375	0
299,370	223.0397	0
299,371	223.0419	0
299,372	223.0442	0
299,373	223.1425	0
299,374	223.3212	0
299,375	227.7583	0
299,380	228.1328	0
299,600	223.3212	0
300,000	244.9616	0
310,000	265.3953	0
310,500	19.1443	0
310,550	29.0173	0
310,560	43.982	0
310,564	56.0957	0
310,565	66.6643	0
310,700	76.2148	0
310,850	93.2644	0
350,000	101.0441	0
400,000	108.4433	0