African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 236

AJMCSR Articles

February 2019

Comparative study of the direct and inverse finite element methods for pricing American options

This paper investigates the computational performance of direct and inverse finite element methods for pricing American options. The underlying concept of the direct approach is similar to that of conventional finite element method. But the inverse approach is a relatively new development that involves trading the roles of financial variables. Based on the same constitutive model and linear elements, a performance...

Author(s): Bolujo Joseph Adegboyegun  

November 2018

Proof of Beal’s conjecture

In this research, a proof of Beal’s conjecture is presented. A possible Pythagorean algebraic relationship between the terms of the conjecture problem will be proposed and used to arrive at the proof results. In the process of seeking the proof the solution of the congruent number problem through a family of cubic curves will be discussed. Key words: Proof of Beal’s conjecture, proof of ABC conjecture,...

Author(s): Samuel Bonaya Buya  

November 2018

Comparison of open source data mining softwares on a data set

Data mining is the process of extracting informative and useful rules or relations, that can be used to make predictions about the values of new instances, from existing data. A wide range of commercial and open source software programs are used for data mining. In this study, a comparison of several classification algorithms included in some open source softwares such as WEKA, Tanagra and Scikit-learn using SEER...

Author(s): Abdullah BAYKAL and Cengiz COŞKUN  

October 2018

Derivation of a new block fifth order method for numerical solution of first order initial value problems

A new block method of order five for the numerical solution of initial value problems is derived. The coefficients of the matrix of the method are chosen such that low power of the blocksize appears in the principal local truncation error. The stability polynomial is shown to be a perturbation of   order explicit Runge-Kutta method. Key words: Predictor-corrector methods, ordinary differential equations,...

Author(s): Salman H. Abbas and Noor A. Jalil Alshakhoori  

October 2018

A study on exact solution of the telegraph equation by (G'/G)-expansion method

In this article, an exact solution of the Telegraph equation is solved by  -Expansion method and this is one of the most popular example both linear and non-linear partial differential equations. The  -Expansion method is simple and powerful analyzed for getting some sets of exact solutions. To develop the theory and to visualize the graph, the mathematical software MAPLE was used. This method also gives us...

Author(s): Muhammad Minarul Islam and Mohammad Sanjeed Hasan  

September 2018

The half way series expansion

A new formula for mathematics is derived which gives the upper half of the series expansion of the expression (ay+b)2n, where n,  is a natural number. A proof of the new formula is given followed by a simple example to test its accuracy. This formula is helpful whenever n is large. Key words: Series Expansion, fluid models, Intermolecular Potential model  

Author(s): Alpha Ibrahim Turay  

September 2018

Maximizing profit in the poultry farming sector: An application of the robust linear programming technique

Managing the limited resources of money, time and space poses a real problem in the livestock business in general and the poultry sector in particular. The stochastic linear programming with recourse will permit the formulation of a mathematical model that could easily be solved in order to attain the objective of maximizing profit but this will be hindered by the presence of some parameters like demand and supply which...

Author(s): Mathias A. Onabid and Therence A. Tchoffo  

August 2018

Multi parameter fuzzy soft set approach to decision making problem

In this paper, a new approach for decision making problem is introduced by extending the definition of fuzzy soft set for multiple parameter sets and is called extended fuzzy soft set. Also, few operations such as “AND” and “ ” are defined on extended fuzzy soft sets and illustrated with examples. Further an algorithm for decision making using the concept of extended fuzzy soft set is presented....


August 2018

Continuous frame in Hilbert space and its applications

In this paper, we study continuous frames in Hilbert spaces using a family of linearly independent vectors called coherent state (CS) and applying it in any physical space. To accomplish this goal, the standard theory of frames in Hilbert spaces, using discrete bases, is generalized to one where the basis vectors may be labeled using discrete, continuous or a mixture of the two types of indices.  A comprehensive...

Author(s): H. K. Das, S. Ghosh and R. Prodhan  

June 2018

Applications of Cauchy-Schwarz inequalities in the mapping structure of linear operator

By applications of Cauchy-Schwarz inequalities, several sufficient conditions in terms of hypergeometric inequalities were found such that the linear operator   preserves and transforms certain well known subclasses of univalent functions to another classes. Relevant connections of our work with the earlier work is pointed out. Key words: Analytic function, subordination, starlike function, convex...

Author(s): T. Panigrahi and R. El-Ashwah

April 2018

Results on generalized fuzzy soft topological spaces

In this manuscript, the concept of a generalized fuzzy soft point is introduced and some of its basic properties were studied. Also, the concepts of a generalized fuzzy soft base (subbase) and a generalized fuzzy soft subspace were introduced and some important theorems were established. Finally, the relationship between fuzzy soft set, intuitionistic fuzzy soft set, generalized fuzzy soft set and generalized...

Author(s): F. H. Khedr, S. A. Abd El-Baki and M. S. Malfi  

March 2018

Analytic solutions of time fractional diffusion equations by fractional reduced differential transform method (FRDTM)

This paper examines a general recurrence relation by the use of fractional reduced differential transform and then a scheme (methodology) on how to find closed solutions of one dimensional time fractional diffusion equations with initial conditions in the form of infinite fractional power series and in terms of Mittag-Leffler function in one parameter as well as their exact solutions by the use of fractional reduced...

Author(s): Kebede Shigute Kenea

January 2018

Distributional analysis with line transect methodology of the distance sampling techniques: Case of large mammals of the Mole National Park (MNP) of Ghana

Distance sampling with line transect method has been applied by many researchers to monitor and observe varied animals and plants with the aim to estimating population density and/or abundance. The detection and detectabilities of plants and animals with line transect methodology appear to be described as seen in the application software DISTANCE by some four specific models or mathematical functions. This study has...

Author(s): Katara Salifu, S.K Amponsah and Bashiru I.I. Saeed  

November 2017

Adams completion and symmetric algebra

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.

Author(s): M. Routaray and A. Behera

October 2017

Numerical solutions of the radiosity equation for a spherical quatrefoil on Mars

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...

Author(s): Yajni Warnapala and Hien Ngo

August 2017

A new approach to homotopy perturbation method for solving systems of Volterra integral equations of first kind

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...

Author(s): M. S. Ahamed, M. Kamrul Hasan and M. S. Alam

July 2017

Some propertıes of fuzzy contınuıty functıons

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.

Author(s): Cahit TAŞDEMIR

June 2017

More accurate approximate analytical solution of pendulum with rotating support

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...

Author(s): Md. Helal Uddin Molla and M. S. Alam

June 2017

A multi-algorithm data mining classification approach for bank fraudulent transactions

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...

Author(s): Oluwafolake Ayano and Solomon O. Akinola

September 2016

Existence of at least one solution of singular Volterra-Hammerstein integral equation and its numerical solution

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...

Author(s): R. T. Matoog

July 2016

Properties of the Euler phi-function on pairs of positive integers (6x - 1, 6x + 1)

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.

Author(s): Mbakiso Fix Mothebe and Sebaameng Samuel

January 2016

A fraud detection tool in E-auctions

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...

Author(s): Tatenda D. Kavu, Talent Rugube, Francis Kawondera and Nyika Chifamba

July 2015

Solvability of nonlinear Klein-Gordon equation by Laplace Decomposition Method

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...

Author(s): Mohammed E. A. Rabie

June 2015

On two-stage fuzzy random programming for water resources management

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...

Author(s): H. A. Khalifa

April 2015

Maximum flow–minimum cost algorithm of a distribution company in Ghana: Case of ‘NAAZO’ Bottling Company, Tamale Metropolis

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...

Author(s): M. Dawuni and K. F. Darkwah

January 2015

On generalised fuzzy soft topological spaces

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...

Author(s): R. P. Chakraborty and P. Mukherjee

January 2015

Applications of ig, dg, bg - Closed type sets in topological ordered spaces

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 

Author(s): G. Srinivasarao, D. Madhusudanrao and N. Srinivasarao

November 2014

A study of Green’s functions for three-dimensional problem in thermoelastic diffusion media

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...

Author(s): Rajnesh Kumar and Vijay Chawla

November 2014

Multivalent harmonic uniformly convex functions

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.

Author(s): R. M. EL-Ashwah, M. K. Aouf and F. M. Abdulkarem

October 2014

A study of some systems of nonlinear partial differential equations by using Adomian and modified decomposition methods

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...

Author(s): Mohammed E. A. Rabie, and Tarig M. Elzaki

July 2014

A highly efficient implicit Runge-Kutta method for first order ordinary differential equations

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....

Author(s): S. A. Agam and Y. A. Yahaya

June 2014

Comparative study of reliability parameter of a system under different types of distribution functions

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....

Author(s): V.K. Pathak, Kamal Mehata, Seema Sahu and Ashish Namdeo

May 2014

A method for the solution of fractional differential equations using generalized Mittag-Leffler function

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...

Author(s): SHARMA Kishan

April 2014

Optimal control model for the outbreak of cholera in Nigeria

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...

Author(s): Isere, A. O., Osemwenkhae, J. E. and Okuonghae D.

April 2014

On integral invariants of ruled surface generated by the Darboux frame of the transversal intersection timelike curve of two timelike surfaces in Lorentz-Minkowski 3-space

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...


February 2014

A cubically convergent class of root finding iterative methods

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,...

Author(s): A. N. Rezaei and H. Esmaeili

February 2014

Application of exp (-())- expansion method to find the exact solutions of Shorma-Tasso-Olver Equation

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...

Author(s): Rahman Nizhum,  Alam Md. Nur,  Harun-Or-Roshid,  Akter Selina and  Akbar M. Ali

February 2014

A stage-structured two species competition model under the effect of disease

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...

Author(s): Agarwal Manju and Verma Vinay

November 2013

Two-step two-point hybrid methods for general second order differential equations

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...

Author(s): Kayode S.J. and Adeyeye O.

November 2013

A fuzzy inference system for predicting depression risk levels

This paper reports the findings from the experimental study of an intelligent system driven by Fuzzy Logic (FL) for depression risk diagnosis. Depression is a common psychological disorder that can cause serious health challenges if it remains undiagnosed, misdiagnosed or untreated. It represents a major public health problem identified by the world health organization (WHO) to have affected a vast majority of the...

Author(s): EKONG, Victor E., EKONG, Uyinomen O., UWADIAE, Enobakhare E., ABASIUBONG, Festus and ONIBERE, Emmanuel A.

October 2013

Hybrid filters for medical image reconstruction

The most significant feature of diagnostic medical images is to reduce Gaussian noise, and salt and pepper noise which is commonly found in medical images and make better image quality. In recent years, technological development has significantly improved analyzing medical imaging. This paper proposes different hybrid filtering techniques for the removal of Gaussian noise, and salt and pepper noise. The filters are...

Author(s): S. Vijaya Kumar

October 2013

L-stable implicit trapezoidal-like integrators for the solution of parabolic partial differential equations on manifolds

A new Trapezoidal-type scheme is proposed for the direct numerical integration of time-dependent partial differential equations. The evolving system of ordinary differential equations after discretization is usually stiff, so it is desirable for the use of a numerical method in solving it to have good properties concerning stability. The method proposed in this article is L-stable and at least of algebraic order two. It...

Author(s): Johnson Oladele Fatokun and Akpan, I. P.

August 2013

Gain scheduled particle swarm optimization based internal model control for tank level system

  The proposed work attempts gain scheduled particle swarm optimization (PSO) based internal model control (IMC) for tank level process. IMC requires determining a single parameter l, the filter constant.  Optimal value of the filter constant is determined using PSO, an evolutionary technique. The tank process is nonlinear in nature. Model and inverse model are found for each linear region separately...

Author(s): U.Sabura Banu and B. Balan

August 2013

Age and space structured tumour invasion: A theoretical mathematical formulation

  In this article, the mathematical model used originally proposed by Bruce and co-workers was reviewed and extended. By assuming spherical symmetry of tumour, there were mathematical expressions in the form of partial differential equations along with some suitable conditions for density of proliferating tumor cells, quiescent tumor cells, surrounding tissue macromolecule (MM) and concentration of matrix...

Author(s): Shashi Kant

August 2013

A theoretical and experimental study of the Broyden-Fletcher-Goldfarb-Shano (BFGS) update

  This paper discusses theoretically the evolution of a conjugate direction algorithm for minimizing an arbitrary nonlinear, non quadratic function using Broyden-Fletcher-Goldfarb-Shano (BFGS) update in quasi-Newton Method. The updating rule is initialized by a Moore Penrose’s generalized inverse. Specifically, an approximation to the inverse Hessian is constructed and the updating rule for this...

Author(s): T. A. Adewale and B. I. Oruh

July 2013

A new version of the proof of

  The result gamma n times gamma 1-n is a useful result in the theory of gamma and beta function, it is used to solve a definite integral where the function in it has a multi-valued function, several authors have proved this result in a tedious way. In this paper, we obtain a new version of the proof of   and the Legendre duplicating formulas for positive integer n, by using a simple analytical...

Author(s): Amusa I. Sesan, Mohammed A. Modiu, Baiyeri J. Funso and Ekakitie E. A.

July 2013

Literature review on grid computing

  The concept of grid has emerged as a new approach to high performance distributed computing infrastructure. In general, Grids represent a new way of managing and organizing computer networks and mainly their deeper resource sharing. Grid computing has evolved into an important discipline within the computer industry by differentiating itself from distributed computing through an increased focus on resource...

Author(s): Rahul Kumar, I. A. Khan and V. D. Gupta

July 2013

N(A)-ternary semigroups

  In this paper, the terms, ‘A-potent’, ‘left A-divisor’, ‘right A-divisor’, ‘A-divisor’ elements, ‘N(A)-ternary semigroup’ for an ideal A of a ternary semigroup are introduced. If A is an ideal of a ternary semigroup T then it is proved that (1)  (2) N0(A) = A2, N1(A) is a semiprime ideal of T containing A, N2(A) = A4 are equivalent,...

Author(s): D. Madhusudhana Rao

June 2013

Peristaltic transport of micropolar fluid through porous medium in a symmetric channel with heat and mass transfer in the presence of generation and radiation

  The effect of heat generation and radiation on the peristaltic motion of micropolar fluid with heat and mass transfer through porous medium in a symmetric channel was investigated. The equations of motion for micropolar fluids were introduced as well as the equations of energy and concentration. The system of these equations written in two dimensions and then transformed using the transformations between a...

Author(s): Nabil T. M. Eldabe, Afaf S. Zaghrout, Hameda M. Shawky and Amera S. Awad

June 2013

Weakly symmetric and weakly ricci–symmetric conditions on manifolds

  In this paper, we have researched the necessary and sufficient conditions for a manifold to be weakly symmetric and weakly Ricci–symmetric and examined the conditions over 1–forms involved in the definitions of weakly symmetric and weakly Ricci–symmetric conditions. We have evaluated some certain results of situations in which a weakly symmetric manifold is with parallel or...

Author(s): Mehmet ATÇEKEN and Ümit YILDIRIM

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