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Mathematical and Computational Applications, Volume 25, Issue 1

2020 March - 17 articles

Cover Story: In the following paper, we demonstrate the potential of using computational models in helmet design, by evaluating the efficacy of a certified helmet with a finite element model of the human head as an injury prediction tool to assess its safety performance. Results indicate a significant risk of brain injury, highlighting the need to improve the design requirements established by helmet standards. View this paper.
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Articles (17)

  • Article
  • Open Access
7 Citations
3,856 Views
18 Pages

One of the effective ways of reducing power system losses is local compensation of part of the reactive power consumption by deploying shunt capacitor banks. Since the capacitor’s impedance is frequency-dependent and it is possible to generate...

  • Article
  • Open Access
6 Citations
3,033 Views
12 Pages

Chaos Synchronization for Hyperchaotic Lorenz-Type System via Fuzzy-Based Sliding-Mode Observer

  • Corina Plata,
  • Pablo J. Prieto,
  • Ramon Ramirez-Villalobos and
  • Luis N. Coria

Hyperchaotic systems have applications in multiple areas of science and engineering. The study and development of these type of systems helps to solve diverse problems related to encryption and decryption of information. In order to solve the chaos s...

  • Article
  • Open Access
2 Citations
3,242 Views
15 Pages

The present paper deals with nonlinear, non-monotonic data regression. This paper introduces an efficient algorithm to perform data transformation from non-monotonic to monotonic to be paired with a statistical bivariate regression method. The propos...

  • Article
  • Open Access
14 Citations
4,383 Views
26 Pages

Hybrid State Constraint Adaptive Disturbance Rejection Controller for a Mobile Worm Bio-Inspired Robot

  • Vania Lara-Ortiz,
  • Ivan Salgado,
  • David Cruz-Ortiz,
  • Alejandro Guarneros,
  • Misael Magos-Sanchez and
  • Isaac Chairez

This study presents the design of a hybrid active disturbance rejection controller (H-ADRC) which regulates the gait cycle of a worm bio-inspired robotic device (WBRD). The WBRD is designed as a full actuated six rigid link robotic manipulator. The c...

  • Feature Paper
  • Article
  • Open Access
4 Citations
3,594 Views
17 Pages

This paper investigates the permanent-magnet (PM) eddy-current losses in multi-phase PM synchronous machines (PMSM) with concentric winding and surface-mounted PMs. A hybrid multi-layer model, combining a two-dimensional (2-D) generic magnetic equiva...

  • Feature Paper
  • Article
  • Open Access
13 Citations
8,178 Views
21 Pages

Certified Motorcycle Helmets: Computational Evaluation of the Efficacy of Standard Requirements with Finite Element Models

  • Fábio A. O. Fernandes,
  • Ricardo J. Alves de Sousa,
  • Mariusz Ptak and
  • Johannes Wilhelm

Every year, thousands of people die in the European Union as a direct result of road accidents. Helmets are one of the most important types of personal safety gear. The ECE R22.05 standard, adopted in 2000, is responsible for the certification of mot...

  • Feature Paper
  • Article
  • Open Access
5 Citations
3,525 Views
25 Pages

For three-phase induction machines supplied by sinusoidal current, it is usual to model the n-bar squirrel-cage by an equivalent two-phase circuit. For a multiphase induction machine which can be supplied with different harmonics of current, the redu...

  • Article
  • Open Access
6 Citations
2,599 Views
17 Pages

Maximal Product of Graphs under Vague Environment

  • Behnaz Sheikh Hoseini,
  • Muhammad Akram,
  • Mehrnaz Sheikh Hosseini,
  • Hossein Rashmanlou and
  • Rajab Ali Borzooei

Graph models are found everywhere in natural and human made structures, including process dynamics in physical, biological and social systems. The product of graphs are appropriately used in several combinatorial applications and in the formation of...

  • Article
  • Open Access
2 Citations
3,582 Views
16 Pages

The paper considers the analysis of a traveling panel, submerged in axially flowing fluid. In order to accurately model the dynamics and stability of a lightweight moving material, the interaction between the material and the surrounding air must be...

  • Article
  • Open Access
49 Citations
5,453 Views
32 Pages

Spherical Fuzzy Graphs with Application to Decision-Making

  • Muhammad Akram,
  • Danish Saleem and
  • Talal Al-Hawary

In a network model, the evaluation information given by decision makers are occasionally of types: yes, abstain, no, and refusal. To deal with such problems, we use mathematical models based on picture fuzzy sets. The spherical fuzzy model is more ve...

  • Article
  • Open Access
4 Citations
3,847 Views
28 Pages

Evolutionary Algorithms Enhanced with Quadratic Coding and Sensing Search for Global Optimization

  • Abdel-Rahman Hedar,
  • Wael Deabes,
  • Majid Almaraashi and
  • Hesham H. Amin

Enhancing Evolutionary Algorithms (EAs) using mathematical elements significantly contribute to their development and control the randomness they are experiencing. Moreover, the automation of the primary process steps of EAs is still one of the harde...

  • Feature Paper
  • Article
  • Open Access
2 Citations
7,413 Views
17 Pages

Jacob’s Ladder: Prime Numbers in 2D

  • Alberto Fraile,
  • Roberto Martínez and
  • Daniel Fernández

Prime numbers are one of the most intriguing figures in mathematics. Despite centuries of research, many questions remain still unsolved. In recent years, computer simulations are playing a fundamental role in the study of an immense variety of probl...

  • Article
  • Open Access
2 Citations
4,089 Views
23 Pages

It is considerably important to calculate the cost efficiency in data envelopment analysis for the efficiency evaluation of decision-making units. The present paper develops the classical cost efficiency model in which all the input prices are consta...

  • Feature Paper
  • Article
  • Open Access
14 Citations
3,698 Views
25 Pages

Non-Epsilon Dominated Evolutionary Algorithm for the Set of Approximate Solutions

  • Carlos Ignacio Hernández Castellanos,
  • Oliver Schütze,
  • Jian-Qiao Sun and
  • Sina Ober-Blöbaum

In this paper, we present a novel evolutionary algorithm for the computation of approximate solutions for multi-objective optimization problems. These solutions are of particular interest to the decision-maker as backup solutions since they can provi...

  • Feature Paper
  • Article
  • Open Access
5,712 Views
13 Pages

Computational models for multicellular biological systems, in both in vitro and in vivo environments, require solving systems of differential equations to incorporate molecular transport and their reactions such as release, uptake, or decay. Examples...

  • Feature Paper
  • Article
  • Open Access
27 Citations
7,510 Views
20 Pages

Numerical Optimal Control of HIV Transmission in Octave/MATLAB

  • Carlos Campos,
  • Cristiana J. Silva and
  • Delfim F. M. Torres

We provide easy and readable GNU Octave/MATLAB code for the simulation of mathematical models described by ordinary differential equations and for the solution of optimal control problems through Pontryagin’s maximum principle. For that, we con...

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Math. Comput. Appl. - ISSN 2297-8747