Research Article
Generalized and Stability Rational Functions for Dynamic Systems of Reactor Kinetics
Table 3
Neutron density of benchmark 1: step of $−0.5 and $1 into a thermal reactor.
| | Time (sec) | Analytical (A) | CATS | Padé (P) | Percentage error (A-P)/A |
| | 0.1 | 6.9892522557 (−1) | 6.989252256 (−1) | 6.989252557 (−1) | −8.375 (−6) | | 1.0 | 6.0705356561 (−1) | 6.070535656 (−1) | 6.070535946 (−1) | −2.744 (−6) | | 5.0 | 4.8255302992 (−1) | 4.825530299 (−1) | 4.825530607 (−1) | −5.317 (−6) | | 10.0 | 3.9607769071 (−1) | 3.960776907 (−1) | 3.960777198 (−1) | −6,890 (−6) | | 100 | 7.1582854438 (−2) | 7.158285444 (−2) | 7.158286234 (−2) | −1.194 (−5) | | 200 | 1.6934791658 (−2) | 1.693479166 (−2) | 1.693479374 (−2) | −1.276 (−5) |
| | 0.1 | 2.5157661414 (00) | 2.515766141 (00) | 2.515766093 (00) | 2.003 (−6) | | 0.5 | 1.0362533810 (01) | 1.036253381 (01) | 1.036253327 (01) | 2.921 (−6) | | 1.0 | 3.2183540945 (01) | 3.218354095 (01) | 3.218353783 (01) | 7.816 (−6) | | 10.0 | 3.2469788980 (09) | 3.246978898 (09) | 3.246975705 (09) | 9.581 (−5) | | 100 | 2.5964846465 (89) | 2.596484647 (89) | 2.596458993 (89) | 9.880 (−4) |
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