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Nov 07, 2019Open AccessArticle
In this paper we take a new approach to solving the Ray-leigh-Sommerfeld-Smythe equation for a telescope’s optical impulse re-sponse to a monochromatic point source spherical wave radiating outward from the origin in the object plane. Two cases are covered: 1) the point source at the origin in the telescope’s near-field object plane; 2) the point source at the origin in the far-field object plane as is the case wi ...
May 24, 2018Open AccessArticle
Haar wavelets are applied for solution of three
dimensional partial differential equations (PDEs) or time depending two dimensional
PDEs. The proposed method is mathematically simple and fast. Two techniques are used in numerical solution, the first based on
2D-Haar wavelets and the second based on 3D-Haar wavelets and we compare them.
To demonstrate the efficiency of the method, two test prob ...
Feb 23, 2018Open AccessArticle
A new PLSGP (potential smokers-light smokers-persistent smokers-giving up smokers-potential smokers) model with birth and death rates on complex heterogeneous networks is presented. Using the mean-field theory, we obtain the basic reproduction number R0 and find that basic reproduction number for constant contact is independent of the topology of the underlying networks. When R0＜1, the smoki ...
Dec 15, 2017Open AccessArticle
This paper is concerned with the construction of a class of polynomial orthogonal with respect to the weight function w(x)=1-x2 over the interval [0,1]. The zeros of these polynomials were employed as points of co ...
Jun 20, 2017Open AccessArticle
The Baryonic Tully-Fisher
relation was extended to clusters hypothesizing that a0, the characteristic acceleration of the Modified
Newtonian Dynamics (MOND), depends on the mass of the system. Circular speeds
were calculated for systems with mass up to 1021 M ...
May 05, 2017Open AccessArticle
This paper deals with the
global optimization of several variables Holderian functions. An algorithm using a
sequence of overestimators of a single variable objective function was developed converging
to the maximum. Then by the use of α-dense curves, we show how to
implement this algorithm in a multidimensional optimization ...
Oct 10, 2016Open AccessArticle
Maple is used to compute control laws of strict-feedback nonlinear systems. The stability of the system is also verified by Maple procedures. We show that computer algebra systems can play an important role in nonlinear system design, in research, and education of nonlinear systems.
Aug 19, 2016Open AccessArticle
In this present paper, we proposed and formulated a quantitative approach
to parametric identifiability of dual HIV-parasitoid-pathogen infectivity in a
novel 5-dimensional algebraic identifiability HIV dynamic model, as against
popular 3-dimensional HIV/AIDS models. In this study, ordinary differential
equations were explored with analysis conducted via two improved developed
techniques—the method of higher-order derivatives (MHO ...
Apr 22, 2016Open AccessArticle
Multiplicity of new cases of HIV/AIDS and its allied infectious diseases
daunted by lack of proper parametric estimation necessitated this present work.
Formulated using ordinary differential equation was a five-dimensional (5D)
differential mathematical model with which compatibility of optimal control
strategy for dual (viral load and parasitoid-pathogen) infectivity in the blood
plasma was investigated. Discretization method indicated the incompatibility of
the model due to large error deriva...
Jan 29, 2016Open AccessArticle
In this work, a one-step method of Euler-Maruyama (EMM) type has been
developed for the solution of general first order stochastic differential
equations (SDEs) using Ito integral equation as basis tool. The effect of
varying stepsizes on the numerical solution is also examined for the SDEs. Two
problems of first order SDEs are solved. Absolute errors for the problems are
obtained from which the mean absolute errors (MAEs) are calculated. Comparison
of variation in stepsizes is achieved using th...
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