Pure and Applied Mathematics Journal

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Volume 9, Issue 1, February 2020

  • Partial Differential Equation Formulations from Variational Problems

    Uchechukwu Opara

    Issue: Volume 9, Issue 1, February 2020
    Pages: 1-8
    Received: 3 August 2019
    Accepted: 29 August 2019
    Published: 4 January 2020
    DOI: 10.11648/j.pamj.20200901.11
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    Abstract: The calculus of variations applied in multivariate problems can give rise to several classical Partial Differential Equations (PDE’s) of interest. To this end, it is acknowledged that a vast range of classical PDE’s were formulated initially from variational problems. In this paper, we aim to formulate such equations arising from the viewpoint of o... Show More
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  • 1-Quasi Total Fuzzy Graph and Its Total Coloring

    Fekadu Tesgera Agama, Venkata Naga Srinivasa Rao Repalle

    Issue: Volume 9, Issue 1, February 2020
    Pages: 9-15
    Received: 27 November 2019
    Accepted: 21 December 2019
    Published: 17 January 2020
    DOI: 10.11648/j.pamj.20200901.12
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    Abstract: The fuzzy graph theory, its properties, total coloring and applications are currently climbing up. With this concept of fuzzy graph, total fuzzy graph is defined and its properties as well as fuzzy total colorings have been well discussed and studied. Similarly the theory of crisp graph, its properties, applications and colorings are well considere... Show More
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  • Strong Fuzzy Chromatic Polynomial (SFCP) of Fuzzy Graphs and Some Fuzzy Graph Structures with Applications

    Mamo Abebe Ashebo, Venkata Naga Srinivasa Rao Repalle

    Issue: Volume 9, Issue 1, February 2020
    Pages: 16-25
    Received: 6 December 2019
    Accepted: 24 December 2019
    Published: 23 January 2020
    DOI: 10.11648/j.pamj.20200901.13
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    Abstract: In fuzzy graph theory, strong arcs have separate importance. Assign different colors to the end nodes of strong arcs in the fuzzy graph is strong coloring. Strong coloring plays an important role in solving real-life problems that involve networks. In this work, we introduce the new concept, called strong fuzzy chromatic polynomial (SFCP) of a fuzz... Show More
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  • Continuous Explicit Hybrid Method for Solving Second Order Ordinary Differential Equations

    Friday Oghenerukevwe Obarhua, Sunday Jacob Kayode

    Issue: Volume 9, Issue 1, February 2020
    Pages: 26-31
    Received: 23 December 2019
    Accepted: 9 January 2020
    Published: 13 February 2020
    DOI: 10.11648/j.pamj.20200901.14
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    Abstract: This paper presents an explicit hybrid method for direct approximation of second order ordinary differential equations. The approach adopted in this work is by interpolation and collocation of a basis function and its corresponding differential system respectively. Interpolation of the basis function was done at both grid and off-grid points while ... Show More
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