Pure and Applied Mathematics Journal

Volume 13, Issue 2, April 2024

  • Research Article

    An Integral-like Numerical Approach for Solving Burgers’ Equation

    Somrath Kanoksirirath*

    Issue: Volume 13, Issue 2, April 2024
    Pages: 17-28
    Received: 24 April 2024
    Accepted: 15 May 2024
    Published: 12 June 2024
    DOI: 10.11648/j.pamj.20241302.11
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    Abstract: The Burgers’ equation, commonly appeared in the study of turbulence, fluid dynamics, shock waves, and continuum mechanics, is a crucial part of the dynamical core of any numerical weather model, influencing simulated meteorological phenomena. While past studies have suggested several robust numerical approaches for solving the equation, many are to... Show More
  • Research Article

    Non-Homogeneous Binary Cubic Equation a(x-y)3=8bxy

    Nagarajan Thiruniraiselvi*, Sharadha Kumar, Mayilrangam Ambravaneswaran Gopalan

    Issue: Volume 13, Issue 2, April 2024
    Pages: 29-35
    Received: 21 May 2024
    Accepted: 7 June 2024
    Published: 19 June 2024
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    Abstract: Polynomial equations an interesting subject in theory of numbers, occupy a pivotal role in the realm of mathematics and have a wealth of historical significance. The theoretical importance of polynomial equations of third degree in two unknowns having integral coefficients is great as they are closely connected with many problems of number theory. ... Show More