Work

Applying Two Fractional Methods for Studying a Novel General Formula of Delayed-Neutron-Affected Nuclear Reactor Equations

Year: 2025

Type: article

Abstract: In this work, the novel general formula for a time-dependent nuclear reactor system of equations with delayed neutron effect has been formulated using a fractional calculus model. We explore the properties of this model, including two analytical approximation methods, the Temimi–Ansari method (TAM) and the Sumudu residual power series method (SRPSM), for solving the equation. These methods allow for the computation of approximate solutions at specific points. This is particularly useful for partial differential equations (PDEs) arising in various fields like physics, engineering, and finance. This work is hoped to improve the advancement of nuclear modeling and simulation, providing researchers and engineers with a powerful mathematical tool for studying the complex dynamics of these critical energy systems.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract9040246

Authors: Mohammed Shqair, Zuhur Alqahtani, Ahmed Hagag

Institutions: Zarqa University, Princess Nourah bint Abdulrahman University, Sinai University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,258

Funders: Princess Nourah Bint Abdulrahman University, Zarqa University