Applied and Computational Mathematics

Volume 13, Issue 5, October 2024

  • Research Article

    Pompeiu-Hausdorff Fuzzy b-metric Spaces Are Associated with a Common Fixed Point and Multivalued Mappings

    Noreddine Makran*

    Issue: Volume 13, Issue 5, October 2024
    Pages: 118-129
    Received: 14 July 2024
    Accepted: 14 August 2024
    Published: 29 August 2024
    DOI: 10.11648/j.acm.20241305.11
    Downloads:
    Views:
    Abstract: The notion of fuzzy logic was introduced by Zadeh. Unlike traditional logic theory, where an element either belongs to the set or does not, in fuzzy logic, the affiliation of the element to the set is expressed as a number from the interval [0, 1]. The study of the theory of fuzzy sets was prompted by the presence of uncertainty as an essential par... Show More
  • Review Article

    Hydromagnetic Non-Newtonian Nanofluid Flow Past Linealy Stretching Convergent-Divergent Conduit with Chemical Reaction

    Paul Wachira Githaiga, Mathew Ngugi Kinyanjui, Roy Phineas Kiogora*

    Issue: Volume 13, Issue 5, October 2024
    Pages: 130-139
    Received: 17 July 2024
    Accepted: 24 August 2024
    Published: 5 September 2024
    Downloads:
    Views:
    Abstract: This paper investigates hydromagnetic non-Newtonian nanofluid flow past linearly stretching convergent-divergent conduit with chemical reaction using spectral ralaxation method. The fluid considered here is electrically conducting and is subjected to a constant pressure gradient and variable magnetic field. The two non-parallel walls are assumed no... Show More
  • Research Article

    The Modeling and Optimization of a Multi-dam System

    Pengcheng Xie*

    Issue: Volume 13, Issue 5, October 2024
    Pages: 140-152
    Received: 1 August 2024
    Accepted: 24 August 2024
    Published: 5 September 2024
    Downloads:
    Views:
    Abstract: In this paper, we present a maintenance plan for the Kariba Dam in Africa. The Kariba Dam, a double curvature concrete arch dam in Zambia's capital, is crucial for regional energy and water management. Ensuring its safety and functionality is essential. This study provides a comprehensive analysis and maintenance plan to safeguard the dam's long-te... Show More
  • Research Article

    Powell-Eyring Nanofluid Flow over a Stretching Sheet

    Nictor Mwamba*

    Issue: Volume 13, Issue 5, October 2024
    Pages: 153-164
    Received: 6 July 2024
    Accepted: 26 August 2024
    Published: 6 September 2024
    Downloads:
    Views:
    Abstract: This research investigates the flow of a Powell-Eyring Nanofluid flowing over an exponentially stretching sheet. Thermal radiation, Soret, dissipation, and Dufour effects have been put into consideration. The obtained partial differential equations(PDE) have been transformed into ordinary differential equations (ODE) using similarity transformation... Show More
  • Research Article

    Pseudo Oversampling Based on Feature Transformation and Fuzzy Membership Functions for Imbalanced and Overlapping Data

    Tingting Pan, Witold Pedrycz, Jie Yang*, Dahai Zhang

    Issue: Volume 13, Issue 5, October 2024
    Pages: 165-177
    Received: 23 July 2024
    Accepted: 20 August 2024
    Published: 19 September 2024
    Downloads:
    Views:
    Abstract: Class imbalance in data poses challenges for classifier learning, drawing increased attention in data mining and machine learning. The occurrence of class overlap in real-world data exacerbates the learning difficulty. In this paper, a novel pseudo oversampling method (POM) is proposed to learn imbalanced and overlapping data. It is motivated by th... Show More
  • Research Article

    Approximate Multiplication and Division Calculation for DSP Applications

    Dina Mohamed Ellaithy*

    Issue: Volume 13, Issue 5, October 2024
    Pages: 178-185
    Received: 12 August 2024
    Accepted: 2 September 2024
    Published: 20 September 2024
    Downloads:
    Views:
    Abstract: Digital signal processing (DSP) is a promising alternative to accomplish a wide variety of signal processing operations. Multiplications and divisions have been urgently proposed to perform different DSP operations in real-time applications. However, the design and implementation of multiplication and division calculations have some limitations suc... Show More