Research Article
A New Accurate Numerical Method Based on Shifted Chebyshev Series for Nuclear Reactor Dynamical Systems
(a) Neutron density for step reactivity feedback: , with = 1$ |
| | = 1$ | | SCS | CATS | BEFD |
| | 10 | 1.320385964321E+02 | 1.3203859643E+02 | 1.320385964E+02 | | 20 | 5.169986094674E+01 | 5.1699860947E+01 | 5.169986095E+01 | | 30 | 2.817468536129E+01 | 2.8174685361E+01 | 2.817468536E+01 | | 40 | 1.814632999521E+01 | 1.8146329995E+01 | 1.814633000E+01 | | 50 | 1.277957703240E+01 | 1.2779577032E+01 | 1.277957703E+01 | | 60 | 9.474932500982E+00 | 9.4749325010E+00 | 9.474932501E+00 | | 70 | 7.244477493764E+00 | 7.2444774937E+00 | 7.244477494E+00 | | 80 | 5.646289700168E+00 | 5.6462897001E+00 | 5.646289700E+00 | | 90 | 4.456834254635E+00 | 4.4568342546E+00 | 4.456834255E+00 | | 100 | 3.550102765997E+00 | 3.5501027660E+00 | 3.550102766E+00 |
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(b) Neutron density for step reactivity feedback: , with = 1.5$ |
| | = 1.5$ | | SCS | CATS | BEFD |
| | 10 | 1.079116832006E+02 | 1.0791168320E+02 | 1.079116832E+02 | | 20 | 4.160428127533E+01 | 4.1604281275E+01 | 4.160428128E+01 | | 30 | 2.329893149652E+01 | 2.3298931496E+01 | 2.329893150E+01 | | 40 | 1.530342749492E+01 | 1.5303427495E+01 | 1.530342749E+01 | | 50 | 1.089014314534E+01 | 1.0890143145E+01 | 1.089014315E+01 | | 60 | 8.101031858998E+00 | 8.1010318590E+00 | 8.101031859E+00 | | 70 | 6.182690459164E+00 | 6.1826904592E+00 | 6.182690459E+00 | | 80 | 4.793307819639E+00 | 4.7933078196E+00 | 4.793307820E+00 | | 90 | 3.755614629341E+00 | 3.7556146293E+00 | 3.755614629E+00 | | 100 | 2.966074951555E+00 | 2.9660749516E+00 | 2.966074952E+00 |
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(c) Neutron density for step reactivity feedback: , with = 2$ |
| | = 2$ | | SCS | CATS | BEFD | EPCA |
| | 10 | 1.033808535461E+02 | 1.0338085355E+02 | 1.033808535E+02 | 1.03380957E+02 | | 20 | 3.913886902261E+01 | 3.9138869026E+01 | 3.913886903E+01 | 3.91388504E+01 | | 30 | 2.200377720638E+01 | 2.2003777206E+01 | 2.200377721E+01 | 2.20037934E+01 | | 40 | 1.449367192746E+01 | 1.4493671927E+01 | 1.449367193E+01 | 1.44936820E+01 | | 50 | 1.031861108271E+01 | 1.0318611083E+01 | 1.031861108E+01 | 1.03186180E+01 | | 60 | 7.663319203219E+00 | 7.6633192032E+00 | 7.663319203E+00 | 7.66331816E+00 | | 70 | 5.829395377947E+00 | 5.8293953779E+00 | 5.829395378E+00 | 5.82939902E+00 | | 80 | 4.499427072767E+00 | 4.4994270728E+00 | 4.499427073E+00 | 4.49942978E+00 | | 90 | 3.507422662628E+00 | 3.5074226626E+00 | 3.507422663E+00 | 3.50742470E+00 | | 100 | 2.755126886406E+00 | 2.7551268864E+00 | 2.755126886E+00 | 2.75512843E+00 |
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