A New Accurate Numerical Method Based on Shifted Chebyshev Series for Nuclear Reactor Dynamical Systems

Table 5

Comparison between the SCS method versus the highly accurate numerical methods: BEFD, CATS, and TFS methods for the case when the reactivity is a function of neutron flux.

($)		BEFD	CATS	TFS method	SCS method
	0.1	1.0817840726	1.0817840726	1.0817840726	1.0817840726
	0.5	1.1435623844	1.1435623844	1.1435623844	1.1435623844
	1.0	1.1676688085	1.1676688085	1.1676688085	1.1676688085
	2.0	1.2079218113	1.2079218113	1.2079218113	1.2079218113
	5.0	1.3199424643	1.3199424643	1.3199424643	1.3199424643
	10	1.5296094953	1.5296094953	1.5296094953	1.5296094953
	15	1.8179563592	1.8179563592	1.8179563592	1.8179563592
	0.1	0.93345679785	0.93345679785	93345679785	0.93345679785
	0.5	0.90728689207	0.90728689207	90728689207	0.90728689207
	1.0	0.89815154947	0.89815154947	89815154947	0.89815154947
	2.0	0.88404456939	0.88404456939	88404456940	0.88404456939
	5.0	0.85296776460	0.85296776460	85296776460	0.85296776460
	10	0.81577146903	0.81577146903	81577146903	0.81577146903
	15	0.78747716481	0.78747716481	78747716481	0.78747716481
		0.90s	0.078s	8.45s	1.12s

Total calculation times in seconds.