American Journal of Applied Mathematics

Archive

Volume 12, Issue 4, August 2024

  • Research Article

    Derivation and Performance Analysis of Composite Trapezoidal Iterative Methods

    Isaac Azure*

    Issue: Volume 12, Issue 4, August 2024
    Pages: 79-90
    Received: 2 June 2024
    Accepted: 17 June 2024
    Published: 6 August 2024
    DOI: 10.11648/j.ajam.20241204.11
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    Abstract: The pursuit of more efficient and reliable numerical methods to solve nonlinear systems of equations has long intrigued many researchers. Among these, the Broyden method has stood out since its introduction, serving as a foundational technique from which various derivative methods have evolved. These derivative methods, commonly referred to as Broy... Show More
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  • Research Article

    A New Second-order Maximum-principle-preserving Finite-volume Method for Flow Problems Involving Discontinuous Coefficients

    Abdou Njifenjou*, Abel Toudna Mansou, Moussa Sali

    Issue: Volume 12, Issue 4, August 2024
    Pages: 91-110
    Received: 24 June 2024
    Accepted: 30 July 2024
    Published: 26 August 2024
    DOI: 10.11648/j.ajam.20241204.12
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    Abstract: A new development of Finite Volumes (FV, for short) and its theoretical analysis are the purpose of this work. Recall that FV are known as powerful tools to address equations of conservation laws (mass, energy, momentum,...). Over the last two decades investigators have succeeded in putting in place a mathematical framework for the theoretical anal... Show More
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