The guelph expansion: a special mathematical formulation for polynomial expansion
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CitationRatemi, W. M. ve Abdullah, H. (2009). The guelph expansion: a special mathematical formulation for polynomial expansion. Maltepe Üniversitesi. s. 381.
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.
SourceInternational Conference of Mathematical Sciences
- Makale Koleksiyonu 
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