Soluzione delle equazioni della cinetica di un reattore nucleare per mezzo di approssimazioni successive di tipo monotono |
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Authors: | G Casadei C Fucci |
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Affiliation: | 1. Centro di Calcolo del C.N.E.N., Bologna
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Abstract: | The solution of the one-energy group space-independent reactor kinetics equations is obtained in the form of the limit of two monotone bounded sequences of functions {N j ?} and {N j +}, non decreasing and non increasing respectively, defined as $$\begin{gathered} N_{j + 1}^ - = T_1 N_j^ + + T_2 N_j^ - + f \hfill \\ N_{j + 1}^ + = T_1 N_j^ - + T_2 N_j^ + + f \hfill \\ \end{gathered} $$ whereT 1 andT 2 are monotone-type operators, precisely antitone and isotone. In this work a procedure for obtaining the two initial elements,N 0 ? andN 0 +, satisfying the required properties to assure the convergence of the two sequences {N j ?} and {N j +}, is described; moreover, it is proved that the two sequences converge uniformely to the same limit. In addition, some numerical results are presented. |
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