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Mathematical and Computational Applications, Volume 29, Issue 5

October 2024 - 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
1,556 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
5 Citations
2,258 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
1 Citations
1,182 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
1 Citations
1,227 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
4 Citations
1,257 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
2 Citations
1,072 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
1,003 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
5 Citations
1,972 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
1,053 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
1,247 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...

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Math. Comput. Appl. - ISSN 2297-8747