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DEVELOPING ANSATZ METHOD FOR SOLVING THE NEUTRON DIFFUSION SYSTEM UNDER GENERAL PHYSICAL CONDITIONS.

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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]
Copyright of Advances in Differential Equations & Control Processes is the property of Pushpa Publishing House and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: DEVELOPING ANSATZ METHOD FOR SOLVING THE NEUTRON DIFFUSION SYSTEM UNDER GENERAL PHYSICAL CONDITIONS.
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  Data: <searchLink fieldCode="AR" term="%22Alsubie%2C+Tami+M%2E+T%2E%22">Alsubie, Tami M. T.</searchLink><relatesTo>1</relatesTo><i> 441000104@stu.ut.edu.sa</i><br /><searchLink fieldCode="AR" term="%22Ebaid%2C+Abdelhalim%22">Ebaid, Abdelhalim</searchLink><relatesTo>1</relatesTo><i> aebaid@ut.edu.sa</i><br /><searchLink fieldCode="AR" term="%22Albalawi%2C+Amjad+S%2E+S%2E%22">Albalawi, Amjad S. S.</searchLink><relatesTo>1</relatesTo><i> 41000042@stu.ut.edu.sa</i><br /><searchLink fieldCode="AR" term="%22Alghamdi%2C+Saeed+A%2E%22">Alghamdi, Saeed A.</searchLink><relatesTo>1</relatesTo><i> 431000297@stu.ut.edu.sa</i><br /><searchLink fieldCode="AR" term="%22Alhamdi%2C+Fawzi+F%2E+M%2E%22">Alhamdi, Fawzi F. M.</searchLink><relatesTo>1</relatesTo><i> 431000300@stu.ut.edu.sa</i><br /><searchLink fieldCode="AR" term="%22Alhamd%2C+Omar+S%2E+H%2E%22">Alhamd, Omar S. H.</searchLink><relatesTo>1</relatesTo><i> 441000018@stu.ut.edu.sa</i><br /><searchLink fieldCode="AR" term="%22Al-Anzi%2C+Salman+M%2E+M%2E%22">Al-Anzi, Salman M. M.</searchLink><relatesTo>1</relatesTo><i> 441000072@stu.ut.edu.sa</i><br /><searchLink fieldCode="AR" term="%22Aljoufi%2C+Mona%22">Aljoufi, Mona</searchLink><relatesTo>1</relatesTo><i> maljufi@ut.edu.sa</i>
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  Data: <searchLink fieldCode="JN" term="%22Advances+in+Differential+Equations+%26+Control+Processes%22">Advances in Differential Equations & Control Processes</searchLink>. Mar2024, Vol. 31 Issue 1, p15-26. 12p.
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  Data: <searchLink fieldCode="DE" term="%22Neutron+diffusion%22">Neutron diffusion</searchLink><br /><searchLink fieldCode="DE" term="%22Delayed+neutrons%22">Delayed neutrons</searchLink><br /><searchLink fieldCode="DE" term="%22Neutron+flux%22">Neutron flux</searchLink><br /><searchLink fieldCode="DE" term="%22Partial+differential+equations%22">Partial differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Exponential+functions%22">Exponential functions</searchLink>
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  Data: 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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  Data: <i>Copyright of Advances in Differential Equations & Control Processes is the property of Pushpa Publishing House and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – SubjectFull: Neutron diffusion
        Type: general
      – SubjectFull: Delayed neutrons
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      – SubjectFull: Neutron flux
        Type: general
      – SubjectFull: Partial differential equations
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      – SubjectFull: Exponential functions
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      – TitleFull: DEVELOPING ANSATZ METHOD FOR SOLVING THE NEUTRON DIFFUSION SYSTEM UNDER GENERAL PHYSICAL CONDITIONS.
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              Text: Mar2024
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