Applied and Computational Mathematics

Volume 14, Issue 2, April 2025

  • Research Article

    A Novel Analytic Method with Integral Transform for Solving Classes of Second and Third Order Ordinary Linear Differential Equations with Variable Coefficients

    Mohamed Abdirahman Jama*, Kang'ethe Giterere, Duncan Gathungu Kioi

    Issue: Volume 14, Issue 2, April 2025
    Pages: 78-89
    Received: 26 January 2025
    Accepted: 18 February 2025
    Published: 5 March 2025
    DOI: 10.11648/j.acm.20251402.11
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    Abstract: Analytical solutions of second- and third-order non-homogeneous Ordinary Linear Differential Equations (OLDEs) with variable coefficients have been investigated using an established mathematical tool, the integral transform, together with a new analytic method developed in this study. This study aims to utilize the integral transform alongside the ... Show More
  • Research Article

    Gompertz Function Approach: Numerical Integration for Microbial Growth Problem

    Ayinde Samuel Olukayode*, Omowaye Adeola John, Fadugba Sunday Emmanuel, Adebayo Kayode James, Ogunmiloro Oluwatayo Micheal, Olarinde Oluwakemi Oluwaseun

    Issue: Volume 14, Issue 2, April 2025
    Pages: 90-100
    Received: 28 February 2025
    Accepted: 11 March 2025
    Published: 28 March 2025
    DOI: 10.11648/j.acm.20251402.12
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    Abstract: In this work, we developed a numerical integrator using the Gompertz function model approach with the basic parameters as highlighted by Gompertz in finding and measure the growth in human cells as a basis function involving exponential, logarithmic, and polynomial, hence implemented the numerical integrator to solve problems arising in microbial g... Show More