Pure and Applied Mathematics Journal

Archive

Volume 7, Issue 6, December 2018

  • A New 4th Order Hybrid Runge-Kutta Methods for Solving Initial Value Problems (IVPs)

    Bazuaye Frank Etin-Osa

    Issue: Volume 7, Issue 6, December 2018
    Pages: 78-87
    Received: 13 November 2018
    Accepted: 4 December 2018
    Published: 2 January 2019
    DOI: 10.11648/j.pamj.20180706.11
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    Abstract: Recently, there has been a great deal of interest in the formulation of Runge-Kutta methods based on averages other than the conventional Arithmetic Mean for the numerical solution of Ordinary differential equations. In this paper, a new 4th Order Hybrid Runge-Kutta method based on linear combination of Arithmetic mean, Geometric mean and the Harmo... Show More
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  • An Empirical Research on Mathematical Case Development in Mathematical Teaching in Liberal Arts College

    Liu Jingli

    Issue: Volume 7, Issue 6, December 2018
    Pages: 88-94
    Received: 15 November 2018
    Accepted: 8 December 2018
    Published: 2 January 2019
    DOI: 10.11648/j.pamj.20180706.12
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    Abstract: In order to explore mathematics learning methods suitable for liberal arts students specially and the educational value of mathematics application cases developed by liberal arts students, an experiment of mathematics application case study was carried out in the first grade liberal arts undergraduate students. 205 mathematics application cases hav... Show More
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  • Post and Jablonsky Algebras of Compositions (Superpositions)

    Maydim Malkov

    Issue: Volume 7, Issue 6, December 2018
    Pages: 95-100
    Received: 29 November 2018
    Accepted: 14 December 2018
    Published: 10 January 2019
    DOI: 10.11648/j.pamj.20180706.13
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    Abstract: There are two algebras of compositions, Post and Jablonsky algebras. Definitions of these algebras was very simple. The article gives mathematically precise definition of these algebras by using Mal’cev’s definitions of the algebras. A. I. Mal’cev defined pre-iterative and iterative algebras of compositions. The significant extension of pre-iterati... Show More
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