Pure and Applied Mathematics Journal

Volume 11, Issue 6, December 2022

  • Application of the Reduced Differential Transform Method to Solve the Navier-Stokes Equations

    Yanick Alain Servais Wellot

    Issue: Volume 11, Issue 6, December 2022
    Pages: 96-101
    Received: 18 October 2022
    Accepted: 12 November 2022
    Published: 22 November 2022
    DOI: 10.11648/j.pamj.20221106.11
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    Abstract: In fluid mechanics, the Navier-Stokes equations are non-linear partial differential equations that describe the motion of Newtonian fluids. A fluid can be a liquid or a gas. Therefore, the Navier-Stokes equation concerns many phenomena that surround us. The analytical resolution, the search for exact solutions of these equations modeling a fluid is... Show More
  • Unique Diagram of a Spatial Arc and the Knotting Probability

    Akio Kawauchi

    Issue: Volume 11, Issue 6, December 2022
    Pages: 102-111
    Received: 2 November 2022
    Accepted: 18 November 2022
    Published: 29 November 2022
    DOI: 10.11648/j.pamj.20221106.12
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    Abstract: There is a question of how a spatial polygonal arc in 3-space such as a linear molecule, a protein, a non-circular DNA, or a linear polymer, etc. is considered as a knot object. This paper answers it by introducing a notion of knotting probability of a spatial arc. As a tool, the knotting probability of an arc diagram which is invariant under isomo... Show More
  • Characterizations and Representations of the Core-EP Inverse and Its Applications

    Xianchun Meng, Ricai Luo, Xingshou Huang, Guiying Wang

    Issue: Volume 11, Issue 6, December 2022
    Pages: 112-120
    Received: 13 October 2022
    Accepted: 4 November 2022
    Published: 30 November 2022
    DOI: 10.11648/j.pamj.20221106.13
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    Abstract: Generalized inverse matrices are an important branch of matrix theory, have a wide range of applications in many fields, such as mathematical statistics, system theory, optimization computing and cybernetics etc. This paper mainly studies the correlation properties and applications of the Core-ep inverse. Firstly, we present the characterizations o... Show More
  • Simulation for Mathematical Modelling of the Effects of a Random Disturbance on Biodiversity of Forestry Biomass

    Bazuaye Frank Etin-Osa, Musa Alex, Ezeora Jeremiah

    Issue: Volume 11, Issue 6, December 2022
    Pages: 121-125
    Received: 16 November 2022
    Accepted: 5 December 2022
    Published: 15 December 2022
    DOI: 10.11648/j.pamj.20221106.14
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    Abstract: Mathematical modelling and simulation of dynamical system have drawn attention in recent times. In addition, there has been so much interest in dynamical characteristics of population model. Forest biomass system happens to play an important role in population dynamics. The study of forests and forestry preservation has gained tremendous attention ... Show More