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Nov 07, 2019Open    AccessArticle

A New Approach to Telescope Fourier Optics

Roy Danchick
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
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May 24, 2018Open    AccessArticle

Solving Three Dimensional and Time Depending PDEs by Haar Wavelets Method

Abdeljalil Nachaoui, Ekhlass S. Al-Rawi, Ahmed F. Qasim
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
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Feb 23, 2018Open    AccessArticle

Spreading Dynamic of a PLSGP Giving up Smoking Model on Scale-Free Network

Yanling Fei, Xiongding Liu
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
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Dec 15, 2017Open    AccessArticle

Collocation Technique for Numerical Solution of Integral Equations with Certain Orthogonal Basis Function in Interval [0, 1]

O. L. Babasola, I. Irakoze
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
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Jun 20, 2017Open    AccessArticle

On the Extension of the Baryonic Tully-Fisher Relation to Galaxy Clusters and Super Massive-Cosmic Systems

Barbaro Quintero-Leyva
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
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May 05, 2017Open    AccessArticle

Global Optimization of Multivariate Holderian Functions Using Overestimators

Amine Yahyaoui, Hamadi Ammar
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
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Oct 10, 2016Open    AccessArticle

Computational Approach to Control Laws of Strict-Feedback Nonlinear Systems

Rongdong Wang, Reza Ahangar
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

On Quantitative Approach to Parametric Identifiability of Dual HIV-Parasitoid Infectivity Model

Bassey E. Bassey, Lebedev K. Andreyevich
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
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Apr 22, 2016Open    AccessArticle

On Analysis of Parameter Estimation Model for the Treatment of Pathogen-Induced HIV Infectivity

Bassey E. Bassey, Lebedev K. Andreyevich
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

On One-Step Method of Euler-Maruyama Type for Solution of Stochastic Differential Equations Using Varying Stepsizes

Sunday Jacob Kayode, Akeem Adebayo Ganiyu, Adegoke Sule Ajiboye
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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