Contemporary Methods and Applications of Integral Equations

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".

Deadline for manuscript submissions: closed (31 December 2020) | Viewed by 2134

Special Issue Editors


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Guest Editor
1. Baikal School of BRICS, Irkutsk National Research Technical University, 664074 Irkutsk, Russia
2. Department of Applied Mathematics and Programming, South Ural State University, Lenin Prospect 76, 454080 Chelyabinsk, Russia
Interests: numerical analysis; solving integral equations; solving ODEs and PDEs; solving ill-posed problems; fuzzy mathematics; stochastic arithmetic; CADNA library; CESTAC method; solving biomathematical models; iterative methods; numerical methods
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Special Issue Information

Dear Colleagues,

We invite you to submit a research paper in the area of integral equations to this Special Issue, entitled “Contemporary Methods and Applications of Integral Equations”, of the journal Symmetry. We seek studies on new and innovative approaches to exactly or approximately solving the first and second kinds of integral equations in linear and nonlinear forms. We also seek to cover high-dimensional and systems of integral equations. We welcome submissions presenting new theoretical results, structural investigations, new models and algorithmic approaches, and new applications of integral equations.

Please note that all submission should be related by symmetry phenomenon.

Prof. Dr. Samad Noeiaghdam
Prof. Dr. Denis N. Sidorov
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • first-kind integral equations
  • second-kind integral equations
  • Volterra integral equations
  • Fredholm integral equations
  • linear and nonlinear problems
  • singular problemsl ill-posed problems
  • systems of integral equations
  • high-dimensional integral equations
  • convergence analysis
  • error analysis
  • numerical methods
  • analytical methods
  • semi-analytical method

Published Papers (1 paper)

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Research

12 pages, 650 KiB  
Article
Integral Equations for Problems on Wave Propagation in Near-Earth Plasma
by Danila Kostarev, Dmitri Klimushkin and Pavel Mager
Symmetry 2021, 13(8), 1395; https://doi.org/10.3390/sym13081395 - 1 Aug 2021
Viewed by 1191
Abstract
We consider the solutions of two integrodifferential equations in this work. These equations describe the ultra-low frequency waves in the dipol-like model of the magnetosphere in the gyrokinetic framework. The first one is reduced to the homogeneous, second kind Fredholm equation. This equation [...] Read more.
We consider the solutions of two integrodifferential equations in this work. These equations describe the ultra-low frequency waves in the dipol-like model of the magnetosphere in the gyrokinetic framework. The first one is reduced to the homogeneous, second kind Fredholm equation. This equation describes the structure of the parallel component of the magnetic field of drift-compression waves along the Earth’s magnetic field. The second equation is reduced to the inhomogeneous, second kind Fredholm equation. This equation describes the field-aligned structure of the parallel electric field potential of Alfvén waves. Both integral equations are solved numerically. Full article
(This article belongs to the Special Issue Contemporary Methods and Applications of Integral Equations)
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