Volume 14, Issue 4, August 2025

  • Research Article

    Fastest - A New High Order FV Method Dynamically Locally Self h-Adaptive for Convective-diffusive Problems

    Vincenzo Angelo Pennati*, Antoine Celestin Kengni Jotsa, Jacques Tagoudjeu

    Issue: Volume 14, Issue 4, August 2025
    Pages: 69-92
    Received: 8 June 2025
    Accepted: 30 June 2025
    Published: 15 August 2025
    DOI: 10.11648/j.pamj.20251404.11
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    Abstract: Several recently published studies regarding flow problems propose schemes of high order of accuracy designed as evolution of traditional methods. A drawback common to these new schemes is the necessity to adopt uniform mesh refinement for solving sharp problems, by increasing the computational cost. Even the so called essentially non-oscillatory a... Show More
  • Research Article

    A Meshless Method for Solving 1D Transport Equation on a Curve of ℝ2

    Aguemon Wiwegnon Uriel-Longin*, Kalivogui Siba, Coulibaly Bakary D

    Issue: Volume 14, Issue 4, August 2025
    Pages: 93-101
    Received: 16 June 2025
    Accepted: 7 July 2025
    Published: 20 August 2025
    DOI: 10.11648/j.pamj.20251404.12
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    Abstract: In this paper, we present the one-dimensional transport equation solving by the isogeometric method, a meshless method using Galerkin Method. This equation has been solved on a semicircle, a curve on ℝ2. The basis of approximation used for this work, is the B-splines basis. We define univariate B-splines. We look at their properties as well a... Show More