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Table 6 Comparison of proposed solution with reported results of state of art numerical and analytical solver in case of inputs t ∈ [0, 100]

From: A new numerical approach to solve Thomas–Fermi model of an atom using bio-inspired heuristics integrated with sequential quadratic programming

Inputs t	Reported solutions			Present results
Inputs t	HAMTA	HAM	CPSM	Present results
0.5	0.615917	0.606987	0.605271	0.627672
1	0.423772	0.424008	0.420344	0.436609
1.5	0.31449	0.314778	0.318737	0.323121
2	0.242718	0.243009	0.256011	0.248928
2.5	0.192795	0.192984	0.213705	0.197372
3	0.156719	0.156633	0.183319	0.159988
3.5	0.129937	0.12937	0.160461	0.131997
4	0.109632	0.108404	0.142654	0.110501
4.5	0.09395	0.091948	0.128394	0.093649
5	0.08163	0.078808	0.11672	0.062332
6	0.063816	0.059423	0.098753	0.048199
7	0.051801	0.046098	0.085573	0.038151
8	0.043286	0.036587	0.075495	0.030784
9	0.037002	0.029591	0.067539	0.025244
10	0.032208	0.024314	0.061099	0.011138
15	0.019184	0.010805	0.041371	0.005936
20	0.013494	0.005785	0.031272	0.003554
25	0.010357	0.003474	0.025135	0.000645
50	0.004731	0.000632	0.012687	0.00021
75	0.003052	0.000218	0.008485	2.66E−11
100	0.002251	0.0001	0.006374	0

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