Analytical Solution of Neutron Diffusion Equation in Reflected Reactors Using Modified Differential Transform Method

MOHAMMED ABDELRAHMAN SHQAIR, Essam R. El-Zahar

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

4 Scopus citations

Abstract

In this paper, the analytical solution of neutron diffusion equation in reflected reactors is obtained using Modified Differential Transform Method (MDTM). The MDTM is applied successfully on singular and non-singular initial value problems arising for the essential reactor geometries. Here, the reactors will not only consist of fuel part (bare reactors) but also it has a core and reflected parts (reflected reactors). A comparison with results in literature and transport theory data is presented. The results confirm that the MDTM is effective and reliable in solving the considered problems.

Original languageEnglish
Title of host publicationForum for Interdisciplinary Mathematics
PublisherSpringer
Pages129-145
Number of pages17
DOIs
StatePublished - 2020

Publication series

NameForum for Interdisciplinary Mathematics
ISSN (Print)2364-6748
ISSN (Electronic)2364-6756

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