Axioms

Advancements in Applied Mathematics and Computational Physics

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A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Physics".

Deadline for manuscript submissions: 30 June 2024 | Viewed by 1091

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Dr. Branislav Randjelovic

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Associate Professor, Department of Mathematics, Faculty of Electronic Engineering, University of Nis, Nis, Serbia
Interests: applied mathematics; graph theory; numerical mathematics; discrete mathematics; material science and nanoelectronics
Special Issues, Collections and Topics in MDPI journals

Prof. Dr. Branislav Vlahovic

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Guest Editor

Department of Mathematics and Physics, North Carolina Central University, Durham, NC, USA
Interests: genomics and mathematics; experimental and theoretical nuclear and hypernuclear physics; material science; nanotechnology; photonics and photovoltaics; chemistry; cosmology

Special Issue Information

Dear Colleagues,

Mathematics and physics, as basic natural sciences, are the root of almost all processes in nature and technology. There are a large number of situations where those two sciences can offer the best models and most appropriate explanations for natural processes or technological problems.

The aim of this Special Issue is to present various ways and new solutions to explain the nature of matter, biophysical systems and systems in technical sciences in the frame of overall reality, using the latest achievements in applied mathematics and computational physics.

The focus of this Special Issue is on new results and solutions in contemporary applied mathematics, algebra, mathematical logic, graph theory, fractals, chaos theory, numerical mathematics, mathematical physics and the latest results in experimental physics, computational physics and physical electronics for problems in nature, technology, technics and electronics.

This Special Issue will cover a broad range of topics to provide new insight into the exploration of the world of electronics, physical electronics, nuclear and hyper-nuclear physics, nanotechnology, material science, photonics and photovoltaics, cosmology, genomics and nature.

The content of this Special Issue will link to other existing literature and already published results as both applied mathematics and computational physics successfully integrate and open up new insights in natural phenomena, offering incredible tools to explain them.

Dr. Branislav Randjelovic
Prof. Dr. Branislav Vlahovic
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. Axioms 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

applied mathematics
computational physics
experimental and theoretical physics
physical electronics
algebra

Published Papers (2 papers)

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Research

14 pages, 1633 KiB

Open AccessArticle

An Optimization Problem for Computing Predictive Potential of General Sum/Product-Connectivity Topological Indices of Physicochemical Properties of Benzenoid Hydrocarbons

by Sakander Hayat, Azri Arfan, Asad Khan, Haziq Jamil and Mohammed J. F. Alenazi

Axioms 2024, 13(6), 342; https://doi.org/10.3390/axioms13060342 - 22 May 2024

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Abstract

For a graph

G = (V_{G}, E_{G})

, a degree-based graphical index

G I_{d}

takes the general form

G I_{d} = \sum_{x y \in E_{G}} ϕ (d_{x}, d_{y})

, [...] Read more.

For a graph

G = (V_{G}, E_{G})

, a degree-based graphical index

G I_{d}

takes the general form

G I_{d} = \sum_{x y \in E_{G}} ϕ (d_{x}, d_{y})

, where

ϕ

is a symmetric map and

d_{i}

is the degree of

i \in V_{G}

. For

α \in R

, if

ϕ = {(d_{x} d_{y})}^{α}

(resp.

ϕ = {(d_{x} + d_{y})}^{α}

), the index is called the general product-connectivity

R_{α}

(resp. general sum-connectivity

S C I_{α}

) index. In this paper, by formulating an optimization problem, we determine the value(s) of

α

, for which the linear/multiple correlation coefficient of

R_{α}

and

S C I_{α}

with physicochemical properties of benzenoid hydrocarbons is the strongest. This, in turn, fills some research gaps left by similar studies in this area. Full article

(This article belongs to the Special Issue Advancements in Applied Mathematics and Computational Physics)

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24 pages, 20089 KiB

Open AccessArticle

Basic Computational Algorithms for Representing an Aircraft Flight (Calculation of 3D Displacement and Displaying)

by Adan Ramirez-Lopez

Axioms 2024, 13(5), 313; https://doi.org/10.3390/axioms13050313 - 10 May 2024

Viewed by 396

Abstract

This manuscript describes the computational process to calculate an airplane path and display it in a 2D and 3D coordinate system on a computer screen. The airplane movement is calculated as a function of its dynamic’s conditions according to physical and logical theory. Here, the flight is divided into maneuvers and the aircraft conditions are defined as boundary conditions. Then the aircraft position is calculated using nested loops, which execute the calculation procedure at every step time (Δt). The calculation of the aircraft displacement is obtained as a function of the aircraft speed and heading angles. The simulator was created using the C++ programming language, and each part of the algorithm was compiled independently to reduce the source code, allow easy modification, and improve the programming efficiency. Aerial navigation involves very complex phenomena to be considered for an appropriate representation; moreover, in this manuscript, the influence of the mathematical approach to properly represent the aircraft flight is described in detail. The flight simulator was successfully tested by simulating some basic theoretical flights with different maneuvers, which include stationary position, running along the way, take off, and some movements in the airspace. The maximum aircraft speed tested was 120 km/h, the maximum maneuver time was 12 min, and the space for simulation was assumed to be without obstacles. Here, the geometrical description of path and speed is analyzed according to the symmetric and asymmetric results. Finally, an analysis was conducted to evaluate the approach of the numerical methods used; after that, it was possible to confirm that precision increased as the step time was reduced. According to this analysis, no more than 500 steps are required for a good approach in the calculation of the aircraft displacement. Full article

(This article belongs to the Special Issue Advancements in Applied Mathematics and Computational Physics)

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