Mathematical Applications in Electrical Engineering, 2nd Edition

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E2: Control Theory and Mechanics".

Deadline for manuscript submissions: 10 July 2025 | Viewed by 514

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Department of Electronic Engineering, University of Rome “Tor Vergata”, Via del Politecnico 1, 00133 Rome, Italy
Interests: mathematical problems in electrical engineering
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Special Issue Information

Dear Colleagues,

Following the success of the First Edition, this Special Issue on "Mathematical Applications in Electrical Engineering" aims to further explore and expand the impactful role of mathematics and computational techniques within electrical engineering. This Second Edition invites high-quality research addressing mathematical methods and their application across diverse areas of electrical engineering, including but not limited to circuit theory, materials simulation, electromagnetic material characterization, and finite element modeling.

We also welcome contributions that present advanced optimization methods, mathematical techniques for circuits, information processing and transmission algorithms, artificial intelligence, and neural network applications tailored to engineering problems. Research in electromagnetic fields and algorithms for data classification, recognition, and prediction is also highly encouraged.

This Special Issue seeks to showcase advancements that bring new insights, methodologies, and trends that drive innovation and enhance knowledge within electrical engineering. We invite original research and review articles that present the latest findings, concepts, and state-of-the-art developments in the field.

Prof. Dr. Fausto Sargeni
Guest Editor

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Keywords

  • mathematics and computational techniques within electrical engineering
  • circuit theory
  • materials simulation
  • electromagnetic material characterization
  • finite element modeling

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Published Papers (1 paper)

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Research

19 pages, 9204 KiB  
Article
Numerical Study of Salt Ion Transport in Electromembrane Systems with Ion-Exchange Membranes Having Geometrically Structured Surfaces
by Evgenia Kirillova, Natalia Chubyr, Anna Kovalenko and Mahamet Urtenov
Mathematics 2025, 13(9), 1523; https://doi.org/10.3390/math13091523 - 6 May 2025
Viewed by 273
Abstract
This article is devoted to numerically modeling the effect of the geometric modification of the surfaces of ion-exchange membranes in electromembrane systems (EMSs) on the salt ion transport using a 2D mathematical model of the transport process in the desalination channel based on [...] Read more.
This article is devoted to numerically modeling the effect of the geometric modification of the surfaces of ion-exchange membranes in electromembrane systems (EMSs) on the salt ion transport using a 2D mathematical model of the transport process in the desalination channel based on boundary value problems for the coupled system of Nernst–Planck–Poisson and Navier–Stokes equations. The main patterns of salt ion transport are established taking into account diffusion, electromigration, forced convection, electroconvection, and the geometric modification of the surface of ion-exchange membranes. It is shown that the geometric modification of the surface of ion-exchange membranes significantly changes both the formation and development of electroconvection. A significant combined effect of electroconvection and geometric modification of the surface of ion-exchange membranes in the desalination channel on the salt ion transport is shown, as well as a complex, nonlinear, and non-stationary interaction of all the main effects of concentration polarization in the desalination channel. Full article
(This article belongs to the Special Issue Mathematical Applications in Electrical Engineering, 2nd Edition)
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