The guelph expansion: a special mathematical formulation for polynomial expansion

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dc.contributor.authorRatemi, Wajdi M.
dc.contributor.authorAbdullah, Hussein
dc.date.accessioned2024-07-12T20:51:10Z
dc.date.available2024-07-12T20:51:10Z
dc.date.issued2009en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractSuch 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.en_US
dc.identifier.citationRatemi, W. M. ve Abdullah, H. (2009). The guelph expansion: a special mathematical formulation for polynomial expansion. Maltepe Üniversitesi. s. 381.en_US
dc.identifier.endpage382en_US
dc.identifier.isbn9.78605E+12
dc.identifier.startpage381en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2369
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciencesen_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY07734
dc.subjectGuelph expansionen_US
dc.subjectTripoli indexen_US
dc.subjectPolynomial expansionen_US
dc.subjectInhour equationen_US
dc.subjectPoint reactor kineticsen_US
dc.titleThe guelph expansion: a special mathematical formulation for polynomial expansionen_US
dc.typeConference Object
dspace.entity.typePublication

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