International Journal of Discrete Mathematics

Archive

Volume 6, Issue 1, June 2021

  • Dynamics of COVID-19 in Nigeria; Prevention of Likely Third Wave of the Deadly Pandemics

    Adebisi Sunday Adesina

    Issue: Volume 6, Issue 1, June 2021
    Pages: 1-4
    Received: 14 April 2021
    Accepted: 3 May 2021
    Published: 14 May 2021
    DOI: 10.11648/j.dmath.20210601.11
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    Abstract: The rate through which the newly discovered coronavirus otherwise referred to as covid-19 is spreading seems to be very alarming and therefore calls for immediate and proper attention in order to forestall ugly occurrences and experience of deteriorate in the health of the majority of people in the country. Of recent, reports are showing that the i... Show More
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  • Peaceman Rachford Alternating Direct Implicitly Method for Linear Advection-Diffusion Equation and Its Application

    Kedir Aliyi Koroche

    Issue: Volume 6, Issue 1, June 2021
    Pages: 5-14
    Received: 3 April 2021
    Accepted: 6 May 2021
    Published: 14 May 2021
    DOI: 10.11648/j.dmath.20210601.12
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    Abstract: In this paper, Peaceman-Rachford alternating direct implicitly methods presented and applied for solve linear advection-diffusion equation. First, the domain was discretized using the uniform mesh of step length and time step. Secondly, by applying the Taylor series methods, we discretize partial derivative of governing equation and we obtain the c... Show More
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  • A ‘Machine’ for Creating Mathematical Concepts in an Abstract Way, Bidecimal Numbers

    Rik Verhulst

    Issue: Volume 6, Issue 1, June 2021
    Pages: 15-22
    Received: 7 April 2021
    Accepted: 18 May 2021
    Published: 26 May 2021
    DOI: 10.11648/j.dmath.20210601.13
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    Abstract: In mathematics, the creation and definition of new concepts is the first step in opening up a new field of research. Traditionally this step originated from intuition by a process of observation, analysis and abstraction. This article will show a general method by which most of the common notions of number theory, geometry, topology, etc., can be i... Show More
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