Archive:: American Journal of Mathematical and Computer Modelling:: Science Publishing Group

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

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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

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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

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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

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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

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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

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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

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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

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