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Axioms
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Computational and Mathematical Methods in Science and Engineering
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Computational and Mathematical Methods in Science and Engineering

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

Deadline for manuscript submissions: closed (20 February 2023) | Viewed by 11367

Special Issue Editors

Prof. Dr. Juan Frausto Solis

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Guest Editor
Graduate Program Division, Tecnológico Nacional de México/Instituto Tecnológico de Ciudad Madero, Cd. Madero 89440, Mexico
Interests: mathematical models; optimization; artificial intelligence; machine learning; folding problems; forecasting
Special Issues, Collections and Topics in MDPI journals
Dr. Juan Paulo Sánchez

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Guest Editor
Dirección de Informática, Electrónica y Telecomunicaciones, Universidad Politécnica del Estado de Morelos, Jiutepec 62574, Mexico
Interests: machine learning; deep learning; optimization algorithms; computer vision
Special Issues, Collections and Topics in MDPI journals
Dr. Guadalupe Castilla Valdez

E-Mail Website
Guest Editor
Postgraduate Studies and Research Division, National Technological Institute of Mexico/Technological Institute of Ciudad Madero, Cd. Madero 89440, Mexico
Interests: combinatorial optimization; machine learning; metaheuristics; genetic algorithms; multiobjective optimization
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues, 

This Special Issue is seeking papers related to computational and mathematical methods for science and engineering. We are looking for research and review articles that address mathematical and computational methods in engineering and information science, as well as their applications. Additionally, we plan to gather the best contributions on new mathematical and computational methods for current problems, providing new knowledge in this scientific field.

We are requesting the submission of papers from a variety of fields, including physics, biology, proteomics, climate change, chemistry, finance, economy, operations research, forecasting, and computational medicine, with regard to current problems such as COVID-19, diabetes, cancer, HIV, and other current medical problems. Additionally, publications enhancing existing algorithms, methods, and mathematical analyses for important issues are welcome. The articles for this Special Issue may cover, but are not limited to, the following subjects: computer and mathematical modeling, machine Learning, Big Data, data mining, and data science, information theory, computational statistics, signal processing, data security, privacy, and cryptology. Additionally, we encourage publications that address new heuristic and exact algorithms for single- and multi-objective optimization for industrial and academic problems as scheduling, timetabling, satisfiability, docking, and protein problems.

Prof. Dr. Juan Frausto Solis
Dr. Juan Paulo Sánchez
Dr. Guadalupe Castilla Valdez
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.

Related Special Issue

Published Papers (5 papers)

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Research

22 pages, 2533 KiB  
Article
An Analytic Solution for the Dynamic Behavior of a Cantilever Beam with a Time-Dependent Spring-like Actuator
by Jer-Rong Chang, Te-Wen Tu and Chun-Jung Huang
Axioms 2023, 12(5), 500; https://doi.org/10.3390/axioms12050500 - 19 May 2023
Viewed by 1240
Abstract
The purpose of this study is to derive an analytical solution for a cantilever beam with a novel spring-like actuator that behaves like a time-dependent spring and to study the dynamic behavior of the system. A time-dependent spring was set at the free [...] Read more.
The purpose of this study is to derive an analytical solution for a cantilever beam with a novel spring-like actuator that behaves like a time-dependent spring and to study the dynamic behavior of the system. A time-dependent spring was set at the free end of the cantilever beam to model the novel spring-like actuator. First, the boundary conditions were transformed from being nonhomogeneous to being homogeneous using the shifting function method. The solution of the analytic series was then obtained by using the expansion theorem method. The correctness of the proposed analytical solution was verified by comparing the results with those obtained via the separation of variables in the special extreme case of a constant spring coefficient. We took the free end of a cantilever beam with harmonic spring stiffness and an external periodic unit load as an example. The influence of the actuator parameters, such as the effect of the magnitude and the frequency of the time-dependent spring stiffness on the resonance frequency, was investigated. An important new result was found, i.e., that the resonance frequency is clearly dependent on the magnitude and the frequency of the spring-like actuator in the first two modes, but not in the third and fourth modes. In practical engineering applications, system resonance can be avoided by adjusting the magnitude and frequency of the actuator. Full article
(This article belongs to the Special Issue Computational and Mathematical Methods in Science and Engineering)
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14 pages, 868 KiB  
Article
A Procedure for Constructing the Solution of a Nonlinear Fredholm Integro-Differential Equation of Second Order
by Rogério Martins Saldanha da Gama and Rogério Pazetto Saldanha da Gama
Axioms 2022, 11(12), 672; https://doi.org/10.3390/axioms11120672 - 26 Nov 2022
Cited by 1 | Viewed by 1134
Abstract
In this work, a large class of integro-differential equations, arising from the description of heat transfer problems, is considered, particularly the nonlinear equations. We propose a procedure for constructing their solution in a very simple and reliable way in which the only needed [...] Read more.
In this work, a large class of integro-differential equations, arising from the description of heat transfer problems, is considered, particularly the nonlinear equations. We propose a procedure for constructing their solution in a very simple and reliable way in which the only needed tool is the same one employed to solve a linear second-order ordinary differential equation, subject to Robin boundary conditions. Proofs of the convergence, existence, and uniqueness are presented. Some special cases are simulated to illustrate the proposed tools. Full article
(This article belongs to the Special Issue Computational and Mathematical Methods in Science and Engineering)
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16 pages, 1960 KiB  
Article
Hybrid Fuzzy C-Means Clustering Algorithm Oriented to Big Data Realms
by Joaquín Pérez-Ortega, Sandra Silvia Roblero-Aguilar, Nelva Nely Almanza-Ortega, Juan Frausto Solís, Crispín Zavala-Díaz, Yasmín Hernández and Vanesa Landero-Nájera
Axioms 2022, 11(8), 377; https://doi.org/10.3390/axioms11080377 - 31 Jul 2022
Cited by 11 | Viewed by 2627
Abstract
A hybrid variant of the Fuzzy C-Means and K-Means algorithms is proposed to solve large datasets such as those presented in Big Data. The Fuzzy C-Means algorithm is sensitive to the initial values of the membership matrix. Therefore, a special configuration of the [...] Read more.
A hybrid variant of the Fuzzy C-Means and K-Means algorithms is proposed to solve large datasets such as those presented in Big Data. The Fuzzy C-Means algorithm is sensitive to the initial values of the membership matrix. Therefore, a special configuration of the matrix can accelerate the convergence of the algorithm. In this sense, a new approach is proposed, which we call Hybrid OK-Means Fuzzy C-Means (HOFCM), and it optimizes the values of the membership matrix parameter. This approach consists of three steps: (a) generate a set of n solutions of an x dataset, applying a variant of the K-Means algorithm; (b) select the best solution as the basis for generating the optimized membership matrix; (c) resolve the x dataset with Fuzzy C-Means. The experimental results with four real datasets and one synthetic dataset show that HOFCM reduces the time by up to 93.94% compared to the average time of the standard Fuzzy C-Means. It is highlighted that the quality of the solution was reduced by 2.51% in the worst case. Full article
(This article belongs to the Special Issue Computational and Mathematical Methods in Science and Engineering)
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12 pages, 468 KiB  
Article
A Simple Greedy Heuristic for Site Specific Management Zone Problem
by Luis Eduardo Urbán Rivero, Jonás Velasco and Javier Ramírez Rodríguez
Axioms 2022, 11(7), 318; https://doi.org/10.3390/axioms11070318 - 29 Jun 2022
Viewed by 2008
Abstract
In agriculture, the soil properties influence the productivity and quality of crops. The farmer expects that in a specific area of the land, the physicochemical characteristics of the soil will be homogeneous as the selected crop has the desired quality and minimizes the [...] Read more.
In agriculture, the soil properties influence the productivity and quality of crops. The farmer expects that in a specific area of the land, the physicochemical characteristics of the soil will be homogeneous as the selected crop has the desired quality and minimizes the use of fertilizers. There are three approaches to determining the correct delimitation of the land in the state-of-the art. The first one (k-means and fuzzy k-means) is impractical for current agricultural technology. The second approach is based on integer linear programming and a pre-processing step. This approach limits the shapes of delimited zones to rectangular, and the third approach extends the solution search space and generates orthogonal regions using Estimation of Distribution Algorithms (EDA). In this work, we generate orthogonal regions with a different approach to the EDA, a greedy construction heuristic. Our heuristic produces feasible solutions with a reasonable running time compared with the running times of EDA. Full article
(This article belongs to the Special Issue Computational and Mathematical Methods in Science and Engineering)
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11 pages, 1269 KiB  
Communication
Hydraulic Losses in Systems of Conduits with Flow from Laminar to Fully Turbulent: A New Symbolic Regression Formulation
by Marko Milošević, Dejan Brkić, Pavel Praks, Dragan Litričin and Zoran Stajić
Axioms 2022, 11(5), 198; https://doi.org/10.3390/axioms11050198 - 24 Apr 2022
Cited by 5 | Viewed by 2146
Abstract
Separate flow friction formulations for laminar and turbulent regimes of flow through pipes are in common use in engineering practice. However, variation of different parameters in a system of conduits during conveying of fluids can cause changes in flow pattern from laminar to [...] Read more.
Separate flow friction formulations for laminar and turbulent regimes of flow through pipes are in common use in engineering practice. However, variation of different parameters in a system of conduits during conveying of fluids can cause changes in flow pattern from laminar to fully turbulent and vice versa. Because of that, it is useful to unify formulations for laminar and turbulent hydraulic regimes in one single coherent equation. In addition to a physical interpretation of hydraulic friction, this communication gives a short overview of already available Darcy’s flow friction formulations for both laminar and turbulent flow and additionally includes two simple completely new approximations based on symbolic regression. Full article
(This article belongs to the Special Issue Computational and Mathematical Methods in Science and Engineering)
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