A New Precursor Integral Method for Solving Space-Dependent Kinetic Equations in Neutronic and Thermal-Hydraulic Coupling System

Table 2

Comparison of relative power (percentage error) between independent precursor methods and precursor integral methods for step reactivity insertion.

		Reference	Independent variables	Zero-order Taylor expansion	First-order Taylor expansion	Exponential expansion
0.0	—	1.00000	1.00000	1.00000	1.00000	1.00000
0.1	10.0	2.06156	2.06046 (−5.3e − 2)	2.05874 (−1.4e − 1)	2.05960 (−9.5e − 2)	2.05963 (−9.3e − 2)
	20.0	—	2.05693 (−2.2e − 1)	2.05355 (−3.9e − 1)	2.05524 (−3.1e − 1)	2.05526 (−3.0e − 1)
0.2	10.0	2.07887	2.07888 (−4.8e − 4)	2.07712 (−8.4e − 2)	2.07800 (−4.1e − 2)	2.07803 (−4.0e − 1)
	20.0	—	2.07888 (−4.8e − 4)	2.07535 (−1.7e − 1)	2.07712 (−8.4e − 2)	2.07714 (−8.3e − 2)
0.3	10.0	2.09625	2.09627 (+9.5e − 4)	2.09447 (−8.5e − 2)	2.09538 (−4.2e − 2)	2.09541 (−4.0e − 2)
	20.0	—	2.09630 (+2.4e − 3)	2.09270 (−1.7e − 1)	2.09451 (−8.3e − 2)	2.09453 (−8.2e − 2)
0.4	10.0	2.11378	2.11381 (+1.4e − 3)	2.11197 (−8.6e − 2)	2.11290 (−4.1e − 2)	2.11293 (−4.0e − 2)
	20.0	—	2.11384 (+2.8e − 3)	2.11017 (−1.7e − 1)	2.11203 (−8.2e − 2)	2.11205 (−8.1e − 2)
0.5	10.0	2.13146	2.13150 (+1.8e − 3)	2.12962 (−8.6e − 2)	2.13057 (−4.1e − 2)	2.13060 (−4.0e − 2)
	20.0	—	2.13153 (+3.3e − 3)	2.12779 (−1.7e − 2)	2.12969 (−8.3e − 2)	2.12971 (−8.2e − 2)