American Journal of Applied Mathematics

Volume 12, Issue 5, October 2024

  • Research Article

    Application of Lagrange Multiplier for Solving Non – Homogenous Differential Equations

    Partha Sarathi Basak*

    Issue: Volume 12, Issue 5, October 2024
    Pages: 111-117
    Received: 1 August 2024
    Accepted: 28 August 2024
    Published: 11 September 2024
    Downloads:
    Views:
    Abstract: The Lagrange Multiplier method has been applied in solving the regular Sturm Liouville (RSL) equation under a boundary condition of the first kind (Dirichlet boundary condition). This method is a very powerful tool for solving the RSL equation and it involves the solution of the RSL equation with the expansion of eigenfunctions into trigonometric s... Show More
  • Research Article

    Stability Analysis of Degenerate Einstein Model of Brownian Motion

    Isanka Garli Hevage*, Akif Ibraguimov, Zeev Sobol

    Issue: Volume 12, Issue 5, October 2024
    Pages: 118-132
    Received: 9 August 2024
    Accepted: 5 September 2024
    Published: 19 September 2024
    DOI: 10.11648/j.ajam.20241205.12
    Downloads:
    Views:
    Abstract: Recent advancements in stochastic processes have uncovered a paradox associated with the Einstein model of Brownian motion of random particles, which diffuse in the media with no boundary . The classical model developed by Einstein provide diffusion coefficient which does not depend on numbers of particles(concentration) and does not degenerate. Ba... Show More
  • Review Article

    Theoretical Approaches Review on Covariance Based Sem Using Lisrel, Partial Least Based Sem Using Smart PLS and Component Based Sem Using Gesca

    Umi Narimawati, Jonathan Sarwono*

    Issue: Volume 12, Issue 5, October 2024
    Pages: 133-140
    Received: 7 August 2024
    Accepted: 2 September 2024
    Published: 20 September 2024
    Downloads:
    Views:
    Abstract: The aim of the research is to review theories underlying the Structural Equation Modeling (SEM) procedure based on covariance (CBSEM), partial least square (PLSSEM) and component (GESCA SEM). The methods used are meta-analysis and systematic secondary data search. Results of the study are: First, theories underlying the CBSEM, PLSSEM and GESCA SEM ... Show More
  • Research Article

    Numerical Simulation of Gas Flow and Nanoparticle Deposition in the Human Lung

    Roni Akter*, Nilufar Yasmin, Mahtab Uddin Ahmmed

    Issue: Volume 12, Issue 5, October 2024
    Pages: 141-148
    Received: 24 June 2024
    Accepted: 29 July 2024
    Published: 26 September 2024
    Downloads:
    Views:
    Abstract: This paper aims to investigate the numerical simulation of breathing for nanoparticle deposition of the human lung. The solid particles in the air that are passing through the human respiratory channels (considered as the 18th generation bronchial tube, which is narrow in diameter and short in length) have an impact on how our lungs exchange gases.... Show More
  • Research Article

    Modeling the Two-Strain Dynamics of COVID-19 in Ghana Using a Logistic Growth Model

    Monica Veronica Crankson, John Cobbinah, Samuella Boadi

    Issue: Volume 12, Issue 5, October 2024
    Pages: 149-166
    Received: 28 July 2024
    Accepted: 16 August 2024
    Published: 29 September 2024
    Downloads:
    Views:
    Abstract: Through mutation, viruses constantly change, bringing into existence new variants; SARS-CoV-2 is no different. In December 2020, variants with different characteristics that could affect transmissibility and death emerged around the world of which Ghana is not an exception. To address this new phenomenon, a two-strain mathematical model of SARS-CoV... Show More
  • Research Article

    Combinatorial Properties, Invariants and Structures Associated with the Direct Product of Alternating and Cyclic Groups Acting on the Cartesian Product of Two Sets

    Morang’a Daniel Orina*, Nyaga Lewis Namu, Gikunju David Muriuki

    Issue: Volume 12, Issue 5, October 2024
    Pages: 167-174
    Received: 19 August 2024
    Accepted: 6 September 2024
    Published: 29 September 2024
    DOI: 10.11648/j.ajam.20241205.16
    Downloads:
    Views:
    Abstract: In relation to group action, much research has focused on the properties of individual permutation groups acting on both ordered and unordered subsets of a set, particularly within the Alternating group and Cyclic group. However, the action of the direct product of Alternating group and Cyclic group on the Cartesian product of two sets remains larg... Show More
  • Research Article

    Suborbital Graphs of Direct Product of the Symmetric Group Acting on the Cartesian Product of Three Sets

    Gikunju David Muriuki*, Nyaga Lewis Namu

    Issue: Volume 12, Issue 5, October 2024
    Pages: 175-182
    Received: 26 August 2024
    Accepted: 25 September 2024
    Published: 18 October 2024
    Downloads:
    Views:
    Abstract: The study of suborbital graphs is a key area in group theory for it provides a graphical representation of a group action on a set. Moreover, it helps in understanding the combinatorial structures of the action of a group on a set. In this paper, we construct suborbital graphs based on the group action of the direct product of the symmetric group o... Show More
  • Methodology Article

    Ecological Impact Assessment of Permanent Site of Federal Polytechnic Oko Using Topographic Survey Method

    Ayodele Femi Ogundeji, Ezugwu Charles Nnamdi*

    Issue: Volume 12, Issue 5, October 2024
    Pages: 183-199
    Received: 29 August 2024
    Accepted: 21 September 2024
    Published: 18 October 2024
    Downloads:
    Views:
    Abstract: Topographic survey based ecological impact assessment provides a mechanism for data integration, development, management and output presentation in a spatial environment. This research involved incorporating spatial data of all salient points at the Permanent Site of Federal Polytechnic, Oko, Anambra state to find a solution to the erosion menace. ... Show More