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