The guelph expansion: a special mathematical formulation for polynomial expansion
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
Such polynomial expansion helped in developing a new compact polynomial formula for the characteristic equation of a nuclear reactor model with n- groups of delayed neutrons which is known as the inhour equation, Hetrick (1971), Duderstadt and Hamilton(1976), and Lewins (1978). The coefficients of the new form of the inhour equation (the polynomial form) can be impeded in an algebraic solution for the solution of the point reactor kinetic model, Ratemi (2001). An Analytical Exponential Mode (AEM) method has been developed by Aboanber(2003) which is based on the developed formulation of the polynomial expansion and its application to the inhour equation for the solution of the point reactor model which includes delayed neutron groups as well as photo-delayed neutron groups associated with beryllium, and heavy water in some types of nuclear reactors. Such new polynomial expansion ( The Guelph expansion) with the new introduced Tripoli indexing (T) has already an application to the solution of nuclear reactor models and helped in getting solutions which overrided system stiffness with better accuracy as well as the advantage of using larger numerical sampling time, Aboanber (2003). It is suggested in this paper for researchers to consider such polynomial expansion for other application in other disciplines.
Açıklama
Anahtar Kelimeler
Guelph expansion, Tripoli index, Polynomial expansion, Inhour equation, Point reactor kinetics
Kaynak
International Conference of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Ratemi, W. M. ve Abdullah, H. (2009). The guelph expansion: a special mathematical formulation for polynomial expansion. Maltepe Üniversitesi. s. 381.
