Bibliographic Details
| Title: |
DEVELOPING ANSATZ METHOD FOR SOLVING THE NEUTRON DIFFUSION SYSTEM UNDER GENERAL PHYSICAL CONDITIONS. |
| Authors: |
Alsubie, Tami M. T.1 441000104@stu.ut.edu.sa, Ebaid, Abdelhalim1 aebaid@ut.edu.sa, Albalawi, Amjad S. S.1 41000042@stu.ut.edu.sa, Alghamdi, Saeed A.1 431000297@stu.ut.edu.sa, Alhamdi, Fawzi F. M.1 431000300@stu.ut.edu.sa, Alhamd, Omar S. H.1 441000018@stu.ut.edu.sa, Al-Anzi, Salman M. M.1 441000072@stu.ut.edu.sa, Aljoufi, Mona1 maljufi@ut.edu.sa |
| Source: |
Advances in Differential Equations & Control Processes. Mar2024, Vol. 31 Issue 1, p15-26. 12p. |
| Subjects: |
Neutron diffusion, Delayed neutrons, Neutron flux, Partial differential equations, Exponential functions |
| Abstract: |
This paper develops an ansatz method to derive the analytic solution of the neutron flux system under general initial conditions. Explicit closed series forms are established for the neutron flux and the delayed neutron concentration in terms of exponential functions. Existing results in the literature are recovered as special cases. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
