SpringerPlus

Table 5 Comparison of proposed solution with reported results of state of art numerical and analytical solver in case of scenarios 2 for t ∈ [0, 5]

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

t	Reported solutions				Present results
t	RCPSM	HAM	NDHPM	VIM	Present results
0	1	1	1	1	1
0.25	0.755881	0.776191	0.708503	0.68065	0.763272
0.5	0.6067	0.615917	0.570492	0.459456	0.611848
0.75	0.502964	0.50538	0.485018	0.307043	0.504675
1	0.424333	0.423772	0.421167	0.202656	0.424096
1.25	0.363228	0.362935	0.369542	0.131668	0.36109
1.5	0.314661	0.31449	0.326299	0.0838	0.310373
1.75	0.275234	0.275154	0.289316	0.051853	0.268571
2	0.242679	0.242718	0.257254	0.030802	0.233401
2.25	0.215439	0.21563	0.22921	0.017153	0.20325
2.5	0.192406	0.192795	0.20454	0.008491	0.176941
2.75	0.172759	0.173364	0.182755	0.003153	0.153592
3	0.155872	0.156719	0.163464	0	0.132524
3.25	0.141261	0.142371	0.146346	−0.00174	0.113205
3.5	0.128541	0.129937	0.131129	−0.00258	0.095214
3.75	0.117408	0.119108	0.117581	−0.00287	0.07821
4	0.107613	0.109632	0.105505	−0.00285	0.061916
4.25	0.098954	0.101303	0.094726	−0.00264	0.046107
4.5	0.091266	0.09395	0.085097	−0.00235	0.030601
4.75	0.084412	0.087432	0.076486	−0.00204	0.015259
5	0.078278	0.08163	0.068779	−0.00173	0

Back to article page