American Journal of Mathematical and Computer Modelling

Volume 2, Issue 4, November 2017

  • On the Log-Concavity of the Root of the Catalan-Larcombe-French Numbers

    Yang Wen

    Issue: Volume 2, Issue 4, November 2017
    Pages: 95-98
    Received: 29 October 2016
    Accepted: 31 March 2017
    Published: 17 April 2017
    DOI: 10.11648/j.ajmcm.20170204.11
    Abstract: Recently, some combinatorial properties for the the Catalan-Larcombe-French numbers have been proved by Sun and Wu, and Zhao. Recently, Z. W. Sun conjectured that the root of the Catalan-Larcombe-French numbers is log-concave. In this paper, we confirm Sun's conjecture by establishing the lower and upper bound for the ratios of the Catalan-Larcombe... Show More
  • On a Construction of the Optimal Trajectories by Applying the Equilibrium Mechanisms in the Discrete Dynamical Models

    Sabir Isa Hamidov

    Issue: Volume 2, Issue 4, November 2017
    Pages: 99-102
    Received: 14 March 2017
    Accepted: 6 May 2017
    Published: 13 July 2017
    DOI: 10.11648/j.ajmcm.20170204.12
    Abstract: The model of economic dynamics, consisting of two units that produce, respectively, means of production and objects of commodities. It is assumed that the trajectory of еру model with a fixed budget admits characteristics and has an equilibrium state. These conditions allow us to construct effective trajectories of the model with the help of the eq... Show More
  • Numerical Approach for Solving Stiff Differential Equations Through the Extended Trapezoidal Rule Formulae

    Yohanna Sani Awari, Micah Geoffrey Kumleng

    Issue: Volume 2, Issue 4, November 2017
    Pages: 103-116
    Received: 18 September 2017
    Accepted: 9 October 2017
    Published: 8 November 2017
    DOI: 10.11648/j.ajmcm.20170204.13
    Abstract: The most popular methods for the solution of stiff initial value problems for ordinary differential equations are the backward differentiation formulae (BDF). In this paper, we focus on the derivation of the fourth, sixth and eighth order extended trapezoidal rule of first kind (ETRs) formulae through Hermite polynomial as basis function which we n... Show More
  • Newton’s Method for Solving Non-Linear System of Algebraic Equations (NLSAEs) with MATLAB/Simulink® and MAPLE®

    Aliyu Bhar Kisabo, Nwojiji Cornelius Uchenna, Funmilayo Aliyu Adebimpe

    Issue: Volume 2, Issue 4, November 2017
    Pages: 117-131
    Received: 25 November 2017
    Accepted: 7 December 2017
    Published: 3 January 2018
    DOI: 10.11648/j.ajmcm.20170204.14
    Abstract: Interest in Science, Technology, Engineering and Mathematics (STEM)-based courses at tertiary institution is on a steady decline. To curd this trend, among others, teaching and learning of STEM subjects must be made less mental tasking. This can be achieved by the aid of technical computing software. In this study, a novel approach to explaining an... Show More