A Novel Ansatz Method for Solving the Neutron Diffusion System in Cartesian Geometry
Mohammed A. Al-Sharif, Abdelhalim Ebaid, Hail S. Alrashdi, Aneefah H. S. Alenazy, Nourah Eid Kanaan
Journal of Advances in Mathematics and Computer Science · pp. 90–99 · Published 15 Dec 2022
10.9734/jamcs/2022/v37i111723Abstract
This paper analyzes the system of partial differential equations (PDEs) describing the diffusion kinetic problem with one delayed neutron precursor concentration in Cartesian geometry. The neutron diffusion kinetic equation is a popular problem in the fundamental Physics which is of practical applications in both nuclear physics and reactor design. For safety considerations, accurate solution of the this fundamental problem is required and mandatory. However, many difficulties arise when dealing with the current model using various numerical/analytical approaches as can be noticed in the literature. So, it is the objective of this paper to develop a new ansatz method to directly solve such fundamental model. It is shown in this work that our approach is straightforward and simpler when compared with other approaches in the relevant literature.
Cited by 2
Essam R. El-Zahar, Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, P.O. Box 83, Al-Kharj 11942, Saudi Arabia, Abdelhalim Ebaid · AIMS Mathematics · 2025
Essam R. El-Zahar, Abdelhalim Ebaid, Laila F. Seddek · Frontiers in Physics · 2025
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