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Mathematical and Computational Applications, Volume 29, Issue 5

2024 October - 25 articles

Cover Story: The enhanced multi-objective symbolic discretization for time series (eMODiTS) method employs a flexible discretization scheme using different value cuts for each non-equal time interval, which incurs a high computational cost for evaluating each objective function. Previous work was performed where surrogate models were implemented to reduce the computational cost to solve this problem. However, low-fidelity approximations were obtained concerning the original model. Consequently, our main objective was to propose an improvement to this work, modifying the updating process of the surrogate models to minimize their disadvantages. This improvement was evaluated based on classification, predictive power, and computational cost, comparing it against the original model and ten discretization methods reported in the literature. View this paper
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Articles (25)

  • Article
  • Open Access
1 Citations
1,862 Views
16 Pages

Muscle ultrasound quantification is a valuable complementary diagnostic tool for diabetic peripheral neuropathy (DPN), enhancing physicians’ diagnostic capabilities. Quantitative assessment is generally regarded as more reliable and sensitive t...

  • Article
  • Open Access
7 Citations
2,719 Views
16 Pages

Mathematical Modeling and Analysis of Ebola Virus Disease Dynamics: Implications for Intervention Strategies and Healthcare Resource Optimization

  • Ikram Ullah,
  • Imtiaz Ahmad,
  • Nigar Ali,
  • Ihtisham Ul Haq,
  • Mohammad Idrees,
  • Mohammed Daher Albalwi and
  • Mehmet Yavuz

This study implements a minded approach to studying Ebola virus disease (EVD) by dividing the infected population into aware and unaware groups and including a hospitalized compartment. This offers a more detailed understanding of illness distributio...

  • Article
  • Open Access
2 Citations
1,303 Views
13 Pages

Application of Bispectral Analysis to Assess the Effect of Drought on the Photosynthetic Activity of Lettuce Plants Lactuca sativa L.

  • Maxim E. Astashev,
  • Dmitriy E. Burmistrov,
  • Denis V. Yanykin,
  • Andrey A. Grishin,
  • Inna V. Knyazeva,
  • Alexey S. Dorokhov and
  • Sergey V. Gudkov

This article proposes a new method for determining the pathological state of a plant, based on a combination of the method for measuring the dynamics of photosystem II pigment fluorescence in the leaves of L. sativa plants and analyzing the resulting...

  • Article
  • Open Access
2 Citations
1,339 Views
17 Pages

In this paper, we study the Camassa–Holm type equation, which has applications in mathematical physics and engineering. Its applications extend across disciplines, contributing to our understanding of complex systems and helping to develop inno...

  • Article
  • Open Access
5 Citations
1,463 Views
35 Pages

In this paper, using a scaling symmetry, it is shown how to compute polynomial conservation laws, generalized symmetries, recursion operators, Lax pairs, and bilinear forms of polynomial nonlinear partial differential equations, thereby establishing...

  • Article
  • Open Access
5 Citations
1,211 Views
19 Pages

The velocity and trajectory of particles moving along the corrugated (rough) surface under the action of gravity is obtained by a modified Method of Fundamental Solutions (MFS). This physical situation is found often in biological systems and microfl...

  • Article
  • Open Access
1 Citations
1,143 Views
18 Pages

This paper considers a nominal undelayed and time-varying second-order Sturm–Liouville differential equation on a finite time interval which is a nominal version of another perturbed differential equation subject to a delay in its dynamics. The...

  • Article
  • Open Access
8 Citations
2,400 Views
14 Pages

Optimized Nonlinear PID Control for Maximum Power Point Tracking in PV Systems Using Particle Swarm Optimization

  • Maeva Cybelle Zoleko Zambou,
  • Alain Soup Tewa Kammogne,
  • Martin Siewe Siewe,
  • Ahmad Taher Azar,
  • Saim Ahmed and
  • Ibrahim A. Hameed

This paper proposes a high-performing, hybrid method for Maximum Power Point Tracking (MPPT) in photovoltaic (PV) systems. The approach is based on an intelligent Nonlinear Discrete Proportional–Integral–Derivative (N-DPID) controller with the Pertur...

  • Article
  • Open Access
1,160 Views
25 Pages

30 September 2024

The meshless displacement error-recovery parametric investigation in finite element method-based incompressible elastic analysis is presented in this study. It investigates key parameters such as interpolation schemes, patch configurations, dilation...

  • Article
  • Open Access
1 Citations
1,353 Views
22 Pages

Periodic and Axial Perturbations of Chaotic Solitons in the Realm of Complex Structured Quintic Swift-Hohenberg Equation

  • Naveed Iqbal,
  • Wael W. Mohammed,
  • Mohammad Alqudah,
  • Amjad E. Hamza and
  • Shah Hussain

30 September 2024

This research work employs a powerful analytical method known as the Riccati Modified Extended Simple Equation Method (RMESEM) to investigate and analyse chaotic soliton solutions of the (1 + 1)-dimensional Complex Quintic Swift–Hohenberg Equat...

  • Article
  • Open Access
1 Citations
2,262 Views
22 Pages

Latent Space Perspicacity and Interpretation Enhancement (LS-PIE) Framework

  • Jesse Stevens,
  • Daniel N. Wilke and
  • Isaac I. Setshedi

25 September 2024

Linear latent variable models such as principal component analysis (PCA), independent component analysis (ICA), canonical correlation analysis (CCA), and factor analysis (FA) identify latent directions (or loadings) either ordered or unordered. These...

  • Article
  • Open Access
4 Citations
2,402 Views
13 Pages

21 September 2024

Elevated blood glucose levels, known as hyperglycemia, play a significant role in sudden cardiac arrest, often resulting in sudden cardiac death, particularly among those with diabetes. Understanding the internal mechanisms has been a challenge for h...

  • Article
  • Open Access
3 Citations
2,260 Views
14 Pages

Design and Implementation of a Discrete-PDC Controller for Stabilization of an Inverted Pendulum on a Self-Balancing Car Using a Convex Approach

  • Yasmani González-Cárdenas,
  • Francisco-Ronay López-Estrada,
  • Víctor Estrada-Manzo,
  • Joaquin Dominguez-Zenteno and
  • Manuel López-Pérez

18 September 2024

This paper presents a trajectory-tracking controller of an inverted pendulum system on a self-balancing differential drive platform. First, the system modeling is described by considering approximations of the swing angles. Subsequently, a discrete c...

  • Article
  • Open Access
3 Citations
1,779 Views
13 Pages

A Corruption Impunity Model Considering Anticorruption Policies

  • Sandra E. Delgadillo-Alemán,
  • Roberto A. Kú-Carrillo and
  • Alejandra Torres-Nájera

14 September 2024

Corruption is a global problem that affects the fair distribution of wealth of every country to different degrees and represents a problem to be solved to prevent the diversion and waste of resources. Among the different efforts to first measure it a...

  • Article
  • Open Access
1 Citations
2,431 Views
20 Pages

Human Activity Recognition from Accelerometry, Based on a Radius of Curvature Feature

  • Elizabeth Cavita-Huerta,
  • Juan Reyes-Reyes,
  • Héctor M. Romero-Ugalde,
  • Gloria L. Osorio-Gordillo,
  • Ricardo F. Escobar-Jiménez and
  • Victor M. Alvarado-Martínez

13 September 2024

Physical activity recognition using accelerometry is a rapidly advancing field with significant implications for healthcare, sports science, and wearable technology. This research presents an interesting approach for classifying physical activities u...

  • Article
  • Open Access
3 Citations
2,181 Views
29 Pages

12 September 2024

This paper proposes a design framework to create individualised finger actuators that can be expanded to a generic hand. An actuator design is evaluated to help a finger achieve tendon-gliding exercises (TGEs). We consider musculoskeletal analysis fo...

  • Feature Paper
  • Article
  • Open Access
1,929 Views
27 Pages

Surrogate-Assisted Symbolic Time-Series Discretization Using Multi-Breakpoints and a Multi-Objective Evolutionary Algorithm

  • Aldo Márquez-Grajales,
  • Efrén Mezura-Montes,
  • Héctor-Gabriel Acosta-Mesa and
  • Fernando Salas-Martínez

11 September 2024

The enhanced multi-objective symbolic discretization for time series (eMODiTS) method employs a flexible discretization scheme using different value cuts for each non-equal time interval, which incurs a high computational cost for evaluating each obj...

  • Article
  • Open Access
2,091 Views
15 Pages

11 September 2024

In this work, we study the sport of tennis, with the aim of understanding competitions and the associated quantities that determine their outcome. We construct an agent-based model that is able to produce data analogous to real data taken from Associ...

  • Feature Paper
  • Article
  • Open Access
2 Citations
1,785 Views
13 Pages

An Alternative Analysis of Computational Learning within Behavioral Neuropharmacology in an Experimental Anxiety Model Investigation

  • Isidro Vargas-Moreno,
  • Héctor Gabriel Acosta-Mesa,
  • Juan Francisco Rodríguez-Landa,
  • Martha Lorena Avendaño-Garrido,
  • Rafael Fernández-Demeneghi and
  • Socorro Herrera-Meza

Behavioral neuropharmacology, a branch of neuroscience, uses behavioral analysis to demonstrate treatment effects on animal models, which is fundamental for pre-clinical evaluation. Typically, this determination is univariate, neglecting the relevant...

  • Article
  • Open Access
8 Citations
2,324 Views
13 Pages

Innovative Solutions to the Fractional Diffusion Equation Using the Elzaki Transform

  • Saima Noor,
  • Albandari W. Alrowaily,
  • Mohammad Alqudah,
  • Rasool Shah and
  • Samir A. El-Tantawy

This study explores the application of advanced mathematical techniques to solve fractional differential equations, focusing particularly on the fractional diffusion equation. The fractional diffusion equation, used to simulate a range of physical an...

  • Article
  • Open Access
1 Citations
2,397 Views
15 Pages

Recent research has suggested that category theory can provide useful insights into the field of machine learning (ML). One example is improving the connection between an ML problem and the design of a corresponding ML algorithm. A tool from category...

  • Article
  • Open Access
2 Citations
1,554 Views
20 Pages

Causal Analysis to Explain the Performance of Algorithms: A Case Study for the Bin Packing Problem

  • Jenny Betsabé Vázquez-Aguirre,
  • Guadalupe Carmona-Arroyo,
  • Marcela Quiroz-Castellanos and
  • Nicandro Cruz-Ramírez

This work presents a knowledge discovery approach through Causal Bayesian Networks for understanding the conditions under which the performance of an optimization algorithm can be affected by the characteristics of the instances of a combinatorial op...

  • Article
  • Open Access
1 Citations
1,183 Views
10 Pages

This paper analyzes the first-order delay equation y(t)=αy(t)+βy(tτ) subject to a history function in addition to an initial condition that assumes discontinuity at t=0. The method of steps is successfully applied to deri...

  • Article
  • Open Access
1,714 Views
17 Pages

Machine Learning Based Extraction of Boundary Conditions from Doppler Echo Images for Patient Specific Coarctation of the Aorta: Computational Fluid Dynamics Study

  • Vincent Milimo Masilokwa Punabantu,
  • Malebogo Ngoepe,
  • Amit Kumar Mishra,
  • Thomas Aldersley,
  • John Lawrenson and
  • Liesl Zühlke

Patient-specific computational fluid dynamics (CFD) studies on coarctation of the aorta (CoA) in resource-constrained settings are limited by the available imaging modalities for geometry and velocity data acquisition. Doppler echocardiography is con...

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Math. Comput. Appl. - ISSN 2297-8747