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Dynamics of COVID-19 in Nigeria; Prevention of Likely Third Wave of the Deadly Pandemics
Issue:
Volume 6, Issue 1, June 2021
Pages:
1-4
Received:
14 April 2021
Accepted:
3 May 2021
Published:
14 May 2021
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 impact of the third wave is already showing in some vulnerable places. The rate of the spread of this deadly and threatening pandemic in almost every nook and cranny of the country, most especially the highly populated cities and towns, seems to be spontaneous and exponential sort of. Hence, as a result, decisive measures and provision need to be put in place so as to not to make the situation more disastrous. From observations so far, it was gathered that the numbers recorded during week days is relatively far more when compared with the number of occurrence during weekends such as Fridays as well as Saturdays. Hence this observations calls for immediate attention. This work considers the sudden numerical growths in the actual number of the casualties (otherwise called the first and the second waves) which occur intermittently, the statistical implications and recommendations for a better and saver live for the populace.
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...
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Peaceman Rachford Alternating Direct Implicitly Method for Linear Advection-Diffusion Equation and Its Application
Issue:
Volume 6, Issue 1, June 2021
Pages:
5-14
Received:
3 April 2021
Accepted:
6 May 2021
Published:
14 May 2021
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 central difference equation for Partial differential equation of given governing equation in both duration. Then rearranging the obtained central difference equation; we write the two half scheme of the present method. From each half of these schemes, we obtain tri-diagonal coefficient matrices associated with the system of difference equation. Lastly by applying the Thomas algorithm and writing MATLAB code for the scheme we obtain solution of the governing linear advection diffusion equation. To validate the applicability of the proposed method, three model examples are considered and solved for different values of mesh sizes in both directions. The convergence has been shown in the sense of maximum absolute error (L1-norm) and L2-norm, numerical error and experimental order of convergence. The stability and convergence of the present numerical method are also guaranteed and the comparability of numerical solution and the stability of the present method are presented by using the graphical and tabular form. The numerical results presented in tables and graphs confirm that the approximate solution is in good agreement with the exact solution.
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...
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A ‘Machine’ for Creating Mathematical Concepts in an Abstract Way, Bidecimal Numbers
Issue:
Volume 6, Issue 1, June 2021
Pages:
15-22
Received:
7 April 2021
Accepted:
18 May 2021
Published:
26 May 2021
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 introduced in one and the same particular way. Therefore, we only need some of the tools of naïve set theory: a set of terms to which we apply an equivalence relation. This equivalence relation induces a partition of the terms with which we can consequently associate new concepts. By using this method’s ‘machine’ in an abstract way on arbitrary sets of terms we can create new notions at will, as we will show in this article, for instance, for bidecimal numbers of different kinds. The fact that we reverse the usual procedure of intuition before abstraction, doesn’t mean that we only create esoteric objects without any meaning. On the contrary, their abstract nature precisely provides our imagination with many possibilities for several interpretations in models in which they become useful. So, for example, we can use our bidecimal numbers to define elementary transformations on a cylinder or on a pile of tori.
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...
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