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Generalization of the Analytical Exponential Model for Homogeneous Reactor Kinetics Equations
Joint Authors
Nahla, Abdallah A.
Al-Ghamdi, Mohammed F.
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-16
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Mathematical form for two energy groups of three-dimensional homogeneous reactor kinetics equations and average one group of the precursor concentration of delayed neutrons is presented.
This mathematical form is called “two energy groups of the point kinetics equations.” We rewrite two energy groups of the point kinetics equations in the matrix form.
Generalization of the analytical exponential model (GAEM) is developed for solving two energy groups of the point kinetics equations.
The GAEM is based on the eigenvalues and the corresponding eigenvectors of the coefficient matrix.
The eigenvalues of the coefficient matrix are calculated numerically using visual FORTRAN code, based on Laguerre’s method, to calculate the roots of an algebraic equation with real coefficients.
The eigenvectors of the coefficient matrix are calculated analytically.
The results of the GAEM are compared with the traditional methods.
These comparisons substantiate the accuracy of the results of the GAEM.
In addition, the GAEM is faster than the traditional methods.
American Psychological Association (APA)
Nahla, Abdallah A.& Al-Ghamdi, Mohammed F.. 2012. Generalization of the Analytical Exponential Model for Homogeneous Reactor Kinetics Equations. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-993108
Modern Language Association (MLA)
Nahla, Abdallah A.& Al-Ghamdi, Mohammed F.. Generalization of the Analytical Exponential Model for Homogeneous Reactor Kinetics Equations. Journal of Applied Mathematics No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-993108
American Medical Association (AMA)
Nahla, Abdallah A.& Al-Ghamdi, Mohammed F.. Generalization of the Analytical Exponential Model for Homogeneous Reactor Kinetics Equations. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-993108
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993108