Research Article
A New Accurate Numerical Method Based on Shifted Chebyshev Series for Nuclear Reactor Dynamical Systems
Table 2
Comparison of the exact and SCS results for test case 1 of step reactivity insertions.
| | | SCS method results | Theoretical results |
| 0.003 | 0.20 | 1.851268287511E+00 | 1.851268287511E+00 | 0.40 | 1.947593411379E+00 | 1.947593411379E+00 | 0.60 | 2.037922055925E+00 | 2.037922055925E+00 | 0.80 | 2.124831636423E+00 | 2.124831636423E+00 | 1.00 | 2.209840456983E+00 | 2.209840456983E+00 | 5.00 | 4.111945003689E+00 | 4.111945003689E+00 | 10.0 | 8.019199973227E+00 | 8.019199973227E+00 | 20.0 | 2.829739978101E+01 | 2.829739978101E+01 | 30.0 | 9.774957522848E+01 | 9.774957522848E+01 | 40.0 | 3.364929691090E+02 | 3.364929691090E+02 | 50.0 | 1.157602990957E+03 | 1.157602990957E+03 | 100 | 5.573863220601E+05 | 5.573863220602E+05 |
| 0.007 | 0.01 | 4.508858486352E+00 | 4.508858486352E+00 | 0.05 | 1.961041160367E+01 | 1.961041160367E+01 | 0.10 | 4.522304458456E+01 | 4.522304458456E+01 | 0.20 | 1.597257698629E+02 | 1.597257698629E+02 | 0.30 | 5.188964648308E+02 | 5.188964648308E+02 | 0.40 | 1.667287692551E+03 | 1.667287692551E+03 | 0.50 | 5.345887612045E+03 | 5.345887612045E+03 | 1.00 | 1.805731634228E+06 | 1.805731634228E+06 | 5.00 | 3.053491380444E+26 | 3.053491380444E+26 | 10.0 | 5.888108082190E+51 | 5.888108082190E+51 | 50.0 | 1.125662952084E+254 | 1.125662952084E+254 |
| 0.008 | 0.01 | 6.202853575094E+00 | 6.202853575094E+00 | 0.05 | 9.564079408383E+01 | 9.564079408383E+01 | 0.10 | 1.410421803591E+03 | 1.410421803591E+03 | 0.20 | 2.779627082462E+05 | 2.779627082462E+05 | 0.30 | 5.460343932944E+07 | 5.460343932944E+07 | 0.40 | 1.072625143566E+10 | 1.072625143566E+10 | 0.50 | 2.107055258349E+12 | 2.107055258349E+12 | 1.00 | 6.163333749908E+23 | 6.163333749908E+23 | 5.00 | 3.303191632501E+115 | 3.303191632502E+115 | 10.0 | 1.514716564142E+230 | 1.514716564142E+230 |
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