Special Issue "Selected Papers from the 17th international Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2019)"

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

Deadline for manuscript submissions: 31 July 2020.

Special Issue Editor

Prof. Dr. Theodore E. Simos
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Guest Editor
1. Department of Mathematics, College of Sciences, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia;
2. Group Leader, Group of Modern Computational Methods, Ural Federal University, 620002, 19 Mira Street, Ekaterinburg, Russian Federation;
3. Department of Automation Engineering, TEI of Sterea Hellas, GR 34400, Psachna Campus, Psachna, Greece (Distinguished Visiting Professor) and
4. Section of Mathematics, Department of Civil Engineering, Democritus University of Thrace, Xanthi, Greece (Visiting Professor)
Interests: scientific computation; applied numerical analysis; computational chemistry; computational material sciences; computational physics; parallel algorithm and expert systems

Special Issue Information

Dear Colleagues,

The 17th international Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2019) will take place in Rhodes, Greece, on 23–28 September 2019.

The International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2019) has successfully been held for the last fifteen years. ICNAAM provides an international meeting point to share and discuss the latest research and knowledge in numerical analysis and applied mathematics. It aims to bring together computational and applied mathematicians across the globe, including researchers at the early stages of their careers and others who are very well-known in their field. With the fast development of computational sciences and engineering, ICNAAM has witnessed an exponential growth of mathematical sciences and an unprecedentedly broad range of real-life applications of mathematics and numerical analysis.

Topics to be covered include (but are not limited to) all the research areas of numerical analysis and computational mathematics as well as those of applied and industrial mathematics.

For more information, please click on the following link: http://icnaam.org/

Prof. Dr. Theodore E. Simos
Guest Editor

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 papers will be 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 1400 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.

Published Papers (1 paper)

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Research

Open AccessArticle
Comparative Study of Some Numerical Methods for the Burgers–Huxley Equation
Symmetry 2019, 11(11), 1333; https://doi.org/10.3390/sym11111333 - 24 Oct 2019
Cited by 1
Abstract
In this paper, we construct four numerical methods to solve the Burgers–Huxley equation with specified initial and boundary conditions. The four methods are two novel versions of nonstandard finite difference schemes (NSFD1 and NSFD2), explicit exponential finite difference method (EEFDM) and fully implicit [...] Read more.
In this paper, we construct four numerical methods to solve the Burgers–Huxley equation with specified initial and boundary conditions. The four methods are two novel versions of nonstandard finite difference schemes (NSFD1 and NSFD2), explicit exponential finite difference method (EEFDM) and fully implicit exponential finite difference method (FIEFDM). These two classes of numerical methods are popular in the mathematical biology community and it is the first time that such a comparison is made between nonstandard and exponential finite difference schemes. Moreover, the use of both nonstandard and exponential finite difference schemes are very new for the Burgers–Huxley equations. We considered eleven different combination for the parameters controlling diffusion, advection and reaction, which give rise to four different regimes. We obtained stability region or condition for positivity. The performances of the four methods are analysed by computing absolute errors, relative errors, L 1 and L errors and CPU time. Full article
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