Abbreviation: Afr. J. Math. Comput. Sci. Res.
Start Year: 2008
Page 1 of 12, showing 20 records out of 223 total, starting on record 1, ending on 20
DOI: 10.5897/AJMCSR2015.0625[Article Number: 7B9E0E966705]
Deleanu, Frei and Hilton have developed the notion of generalized Adams completion in a categorical context. In this paper, the symmetric algebra of a given algebra is shown to be the Adams completion of the algebra by considering a suitable set of morphisms in a suitable category. Key words: Category of fraction, calculus of left fraction, symmetric algebra, tensor algebra, Adams completion. Read more.
DOI: 10.5897/AJMCSR2017.0712[Article Number: D53536766502]
The Galerkin method is used to numerically solve the exterior boundary value problem for the radiosity equation for the spherical quatrefoil. The radiosity equation is a mathematical model for the brightness of a collection of one or more surfaces when their reflectivity and emissivity are given. On planet Mars the surface emissivity is closely related to its surface temperature. The radiosity of a surface is the rate... Read more.
DOI: 10.5897/AJMCSR2017.0695[Article Number: 5A2C08D65813]
In this article, He’s homotopy perturbation method was applied in a variant way to solve the system of Volterra integral equations of first kind. The results reveal that the proposed approach is very efficient for handling such system of integral equations. Some examples are given to show the ability of the proposed modification. Key words: Integral equations, Volterra integral equations of first... Read more.
DOI: 10.5897/AJMCSR2017.00691[Article Number: 870E28165215]
In this study, some definitions and features related to fuzzy continuity, fuzzy membership functions and fuzzy continuous functions are examined. Using these definitions and properties, some theorems about fuzzy continuous functions have been proved. Key words: Fuzzy continuity, fuzzy function, fuzzy set. Read more.
DOI: 10.5897/AJMCSR2017.0684[Article Number: 666B63D64624]
Based on the energy balance method (EBM), a more accurate analytical solution of the pendulum equation with rotating support was presented. The results were compared with those obtained by the differential transformation method (DTM) and He’s improved energy balance method. It was shown that the results are more accurate than the said methods. Key words: Energy balance method, approximate solutions, nonlinear... Read more.
DOI: 10.5897/AJMCSR2017.0686[Article Number: 8D3A10364626]
This paper proposes a multi-algorithm strategy for card fraud detection. Various techniques in data mining have been used to develop fraud detection models; it was however observed that existing works produced outputs with false positives that wrongly classified legitimate transactions as fraudulent in some instances; thereby raising false alarms, mismanaged resources and forfeit customers’ trust. This work was... Read more.
DOI: 10.5897/AJMCSR2016.0660[Article Number: D31A03660981]
In this paper, we prove the existence of at least one solution for Volterra- Hammerstein integral equation (V-HIE) of the second kind, under certain conditions, in the space , Ω is the domain of integration and T is the time. The kernel of Hammerstein integral term has a singularity, while the kernel of Volterra is continuous in time. Using a quadratic numerical method with respect to time, we have a system... Read more.
DOI: 10.5897/AJMCSR2016.0648[Article Number: 42FFD3C59708]
Let n ≥ 1 be an integer. Define ϕ2(n) to be the number of positive integers x, 1 ≤ x ≤ n, for which both 6x−1 and 6x+1 are relatively prime to 6n. The primary goal of this study is to show that ϕ2 is a multiplicative function, that is, if gcd(m, n) = 1, then ϕ2(mn) = ϕ2(m)ϕ2(n). Key words: Euler phi-function, multiplicative function. Read more.
DOI: 10.5897/AJMCSR2015.0593[Article Number: 9184A4C56844]
Due to rapid growth of the use of online auctions, fraudsters have taken advantage of these platforms to participate in their own auctions in order to raise prices (a practice called shilling). Innocent bidders have been forced to pay higher prices than they were willing to offer. This has resulted in the need to design and implement a shill detection algorithm. To eliminate this shilling problem, we designed a shilling... Read more.
DOI: 10.5897/AJMCSR2014.0572[Article Number: 6310F9154159]
In this study, Adomian Decomposition Method (ADM), Modified Decomposition Method (MD) and Laplace Decomposition Method (LDM) were used in solving nonlinear Klein-Gordon equation. It can be easily concluded that these three methods yielded exactly the same... Read more.
DOI: 10.5897/AJMCSR2015.0599[Article Number: 687A4F953574]
In this paper, a two-stage fuzzy random programming for a management problem in terms of water resources allocation having fuzzy random variable coefficients and decision vector of random variables is studied. The first results show the fact that a fuzzy pseudorandom optimal solution of a two-stage fuzzy random programming may be resolved into a two of pseudorandom optimal solutions of relative two-stage random... Read more.
DOI: 10.5897/AJMCSR2014.0569[Article Number: 32BC08152611]
Every business entity’s primary objective is to maximize profit and satisfy its customers (end users). Since businesses are an integral part of our environment, their operations will be restricted by the environmental factors associated with it. The study seeks to model NAAZO Peki distribution in Tamale Metropolis (TM) as a network flow problem, and to determine the minimum cost of Peki soft drink distribution in... Read more.
DOI: 10.5897/AJMCSR2014.0562[Article Number: E67B4E650091]
In this paper, union, and intersection of generalised fuzzy soft sets are introduced and some of their basic properties are studied. The objective of this paper is to introduce the generalised fuzzy soft topology over a soft universe with a fixed set of parameters. Generalised fuzzy soft points, generalised fuzzy soft closure, generalised fuzzy soft neighbourhood, generalised fuzzy soft interior, generalised fuzzy soft... Read more.
DOI: 10.5897/AJMCSR2014.0570[Article Number: BE60F0D50095]
In this paper we discuss possible applications of ig, dg and bg- closed type sets in topological ordered spaces. Key words: dg-closed, bg-closed, ig*-closed, dg*-closed, bg*-closed sets, Closed type sets, topological ordered spaces Read more.
DOI: 10.5897/AJMCSR2014.0564[Article Number: A11A4F148478]
The purpose of the present paper is to study the three-dimensional general solution and Green’s functions in transversely isotropic thermoelastic diffuson media for static problem. With this objective, two displacement functions are introduced to simplify the basic equation and a general solution is then obtained by using the operator theory. Based on the obtained general solution, the three- dimensional... Read more.
DOI: 10.5897/AJMCSR2014.0542[Article Number: DD9FE1E48480]
In this paper, several properties of the multivalent harmonic uniformly convex classes and were investigated. Coefficient bounds, distortion theorem, extreme points, convolution condition, convex combinations and integral operator for these classes were obtained. Key words: Harmonic, multivalent functions, convex, convolution. Read more.
DOI: DOI: 10.5897/AJMCSR2014.0541[Article Number: 98918D947930]
In this paper, we introduce the solution of systems of nonlinear partial differential equations subject to the general initial conditions by using Adomian decomposition method (ADM) and Modified decomposition method (MDM). The proposed Adomian and Modified decomposition methods was applied to reformulated first and second order initial value problems, which leads the solution in terms of transformed variables, and the... Read more.
DOI: 10.5897/AJMCSR2014.0551[Article Number: 9D7ECC646284]
In this paper we develop a more efficient three-stage implicit Runge-Kutta method of order 6 for solving first order initial value problems of ordinary differential equations. Collocation method is used to derive Continuous schemes in which both the interpolation and collocation points are at perturbed Gaussian points. This gives a higher order scheme, which is more efficient and stable than the existing similar ones.... Read more.
DOI: 10.5897/AJMCSR2014.0539[Article Number: A2379B546279]
In this paper a two unit standby system with single repair facility has been considered. When a working unit fails, it is immediately taken over by standby unit and repair on the failed unit is started immediately. Taking two types of distribution, namely, Weibull and Erlangian, various system effectiveness measures such as MTSF, Availability and Busy Periods are compared and results are interpreted numerically.... Read more.
DOI: 10.5897/AJMCSR2014.0538[Article Number: B653A6545452]
This paper deals with the approximate and analytical solutions of non linear fractional differential equations namely, Lorenz System of Fractional Order and the obtained results are compared with the results of Homotopy Perturbation method and Variational Iteration method in the standard integer order form. The reason for using fractional order differential equations is that, fractional order differential equations are... Read more.
Page 1 of 12, showing 20 records out of 223 total, starting on record 1, ending on 20