Decay chain differential equations: Solution through matrix algebra


Autoria(s): AMAKU, Marcos; PASCHOLATI, Paulo Reginaldo; VANIN, Vito Roberto
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

19/10/2012

19/10/2012

2010

Resumo

A matricial method to solve the decay chain differential equations system is presented. The quantity of each nuclide in the chain at a time t may be evaluated by analytical expressions obtained in a simple way using recurrence relations. This method may be applied to problems of radioactive buildup and decay and can be easily implemented computationally. (C) 2009 Elsevier B.V. All rights reserved.

CNPq

Identificador

COMPUTER PHYSICS COMMUNICATIONS, v.181, n.1, p.21-23, 01 JAN, 2010

0010-4655

http://producao.usp.br/handle/BDPI/25320

10.1016/j.cpc.2009.08.011

http://dx.doi.org/10.1016/j.cpc.2009.08.011

Idioma(s)

eng

Publicador

ELSEVIER SCIENCE BV

Relação

Computer Physics Communications

Direitos

restrictedAccess

Copyright ELSEVIER SCIENCE BV

Palavras-Chave #Radioactivity #Decay chain equations #Radioactive decay and buildup #Matricial method #Recurrence relation #Triangular matrix inverse #Computer Science, Interdisciplinary Applications #Physics, Mathematical
Tipo

article

original article

publishedVersion