Research Article
[Retracted] The Rational Third-Kind Chebyshev Pseudospectral Method for the Solution of the Thomas-Fermi Equation over Infinite Interval
Table 3
Approximations of
for the present method, [
23,
28].
| | Khan and Xu [23] | Liao [28] | Present method |
| 0.25 | 0.776191000 | 0.755202000 | 0.755455402 | 0.50 | 0.615917000 | 0.606987000 | 0.602998554 | 0.75 | 0.505380000 | 0.502347000 | 0.494347872 | 1.00 | 0.423772000 | 0.424008000 | 0.416399658 | 1.25 | 0.362935000 | 0.363202000 | 0.358770806 | 1.50 | 0.314490000 | 0.314778000 | 0.314761643 | 1.75 | 0.275154000 | 0.275451000 | 0.280179962 | 2.00 | 0.242718000 | 0.243009000 | 0.252344355 | 2.25 | 0.215630000 | 0.215895000 | 0.229482688 | 2.50 | 0.192795000 | 0.192984000 | 0.210384924 | 2.75 | 0.173364000 | 0.173441000 | 0.194199930 | 3.00 | 0.156719000 | 0.156633000 | 0.180313058 | 3.25 | 0.142371000 | 0.142070000 | 0.168270054 | 3.50 | 0.129937000 | 0.129370000 | 0.157728304 | 3.75 | 0.119108000 | 0.118229000 | 0.148424721 | 4.00 | 0.109632000 | 0.108404000 | 0.140154047 | 4.25 | 0.101303000 | 0.099697900 | 0.132753853 | 4.50 | 0.093950400 | 0.091948200 | 0.126093968 | 4.75 | 0.087432000 | 0.085021800 | 0.120068868 | 5.00 | 0.081629600 | 0.078807800 | 0.114592127 | 6.00 | 0.063816200 | 0.059423000 | 0.096904158 | 7.00 | 0.051800500 | 0.046097800 | 0.083941323 | 8.00 | 0.043285900 | 0.036587300 | 0.074034822 | 9.00 | 0.037002300 | 0.029590900 | 0.066218399 | 10.0 | 0.032208100 | 0.024314300 | 0.059894055 | 15.0 | 0.019184300 | 0.010805400 | 0.040533524 | 20.0 | 0.013493700 | 0.005784940 | 0.030630632 | 25.0 | 0.010357000 | 0.003473750 | 0.024616163 | 50.0 | 0.004730890 | 0.000632255 | 0.012420906 | 75.0 | 0.003052460 | 0.000218210 | 0.008305908 | 100 | 0.002251000 | 0.000100243 | 0.006238954 |
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