Table 1: Numerical comparison of Thomas-Fermi’s numerical solution [39] and approximations [15, 38] and (45).

Numerical [39][38] (45) [15]

0.001.0000000001.0000000001.000000000
0.250.755880759 0.776191000 0.7085029320.680650028
0.500.606700008 0.615917000 0.5704917450.459455663
0.750.502964042 0.505380000 0.4850180110.307042537
1.000.424333179 0.423772000 0.4211672270.202655526
1.250.363227937 0.362935000 0.3695421630.131667603
1.500.314660642 0.314490000 0.3262985260.083800106
1.750.275233848 0.275154000 0.2893157790.051853222
2.000.242678587 0.242718000 0.2572536990.030801947
2.250.215439334 0.215630000 0.2292100940.017153465
2.500.192406328 0.192795000 0.2045403810.008491277
2.750.172758691 0.173364000 0.1827552640.003152503
3.000.155871862 0.156719000 0.1634644740
3.250.141260504 0.142371000 0.146346052
3.500.128541381 0.129937000 0.131128799
3.750.117408054 0.119108000 0.117581337
4.000.107612958 0.109632000 0.105504623
4.250.098954329 0.101303000 0.094726427
4.500.091266456 0.093950400 0.085097045
4.750.084412289 0.087432000 0.076485875
5.000.078277758 0.081629600 0.068778618