Abbreviation: Afr. J. Math. Comput. Sci. Res.
Start Year: 2008
Page 1 of 11, showing 20 records out of 217 total, starting on record 1, ending on 20
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.
DOI: 10.5897/AJMCSR2013.0527[Article Number: 079F19B44102]
In this work two mathematical models that described the dynamics of cholera in Nigeria were presented. The first model examined the bacteria population using a logistic definition for its growth in the expected habitat and their interaction with the susceptible population. The second model is an optimal control model that includes two time- dependent control functions with one minimizing the contact between the... Read more.
DOI: 10.5897/AJMCSR2013.0517[Article Number: C5460DE44103]
In this paper, some characteristic properties of ruled surfaces which are generated by the Darboux frame of the transversal intersection timelike curve of two timelike surfaces were studied in Lorentz-Minkowski 3-Space . Moreover, the relations between the Darboux frames, the Darboux derivate formulas, the apex angles, the pitchs, the geodesic curvatures, the normal curvatures, the geodesic torsions and the dralls of... Read more.
DOI: 10.5897/AJMCSR12.036[Article Number: CFF00F043037]
In this paper, we propose a new two-parameter class of iterative methods to solve a nonlinear equation. It is proved that any method in this class is cubically convergent if and only if the parameters sum up to one. Some of the existing third-order methods, by suitable selection of parameters, can be put in this class. Every iteration of the class requires an evaluation of the function, three of the first derivative,... Read more.
DOI: 10.5897/AJMCSR2014.0532[Article Number: F0660C443035]
In this work, we present traveling wave solutions for the Shorma-Tasso-Olver equation. The idea of exp (-f(x))- expansion method is used to obtain exact solutions of that equation. The traveling wave solutions are expressed by the exponential functions, the hyperbolic functions, the trigonometric functions solutions and the rational functions. It is shown that the method is awfully effective and can be used... Read more.
DOI: 10.5897/AJMCSR2013.0522[Article Number: 26D604F43036]
In this paper we study the dynamics of two competing species model, one of the competing species is stage structured and the disease spreads only in the other competing specie. In order to keep the model simple, we present it under the strong assumption that the disease cannot cross the species barrier. Dynamical behaviors such as positivity, roundedness, stability, bifurcation and persistence of the model, are studied... Read more.
DOI: 10.5897/AJMCSR2013.0502[Article Number: E8FBCDB41982]
Two-step two-point hybrid numerical methods for direct solution of initial value problems of general second order differential equations are proposed in this study. Chebyshev polynomials without perturbation terms are used as basic function for the development of the methods in predictor-corrector mode. The collocation and interpolation equations are generated at both grid and off-grid points. The resulting... Read more.
Page 1 of 11, showing 20 records out of 217 total, starting on record 1, ending on 20