Mathematics and Computer Science Research

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

Article in Press

The study investigated the impacts of buoyancy force and heat source on a reactive third grade fluid flow within parallel channel. The results obtained for the coupled equations governing the fluid flow which are strongly nonlinear are secured using modified Adomian decomposition method (mADM). The present result is compared with the one in Makinde (2009) where the influence of buoyancy force and heat source were not...

Article in Press

Quantum mechanics is one of the branches of physics and is a fundamental theory which explains the nature of atoms and subatomic particles at the smallest scale of energy.In this mechanics, physical problems are solved by algebraic and analytic methods. By applying Laplace Transform we can find the general solutions of one dimensional Schrodinger’s time - independent wave equation for a particle in an infinite square well...

Article in Press

A Study on Exact Solution of the Telegraph Equation by -Expansion Method

Abstract: 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, we use the mathematical software MAPLE. This method also gives us various...

Article in Press

Yelli - a new extraction optimization approach to Frequent 2-itemsets

In this paper, we propose a new optimization approach to the APRIORI reference algorithm (AGR 94) for 2-itemsets (sets of cardinal 2). The approach used is based on two-item sets. We start by calculating the 1-itemets supports (cardinal 1 sets), then we prune the 1-itemsets that are not frequent and keep only those that are frequent (ie those that have the itemsets whose values are greater than or equal to a fixed minimum...

Article in Press

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 appear in the principal local truncation error. The stability polynomial is shown to be a perturbation of (p + 1)th order explicit Runge-Kutta method.

Article in Press

An Application on Weighted Composition Operators on Hardy Spaces

Let ϕ, (ϕ+ε) be closely analytic functions defined on D, such that ϕ(D)⊆D. The operator given by f⟼(ϕ+ε)(f∘ϕ) is called a weighted composition operator. We show the boundedness, compactness, weak compactness, and complete continuity of weighted composition operators on Hardy spaces H_(1+ε) (ε≥0). We show that such an operator is compact on H1 if and only if it is weakly compact on this space. This result depends on a...

Article in Press

Analysis of A Vaccination Mathematical Model of An Infectious Measles Disease

Mathematical modeling has provided a lot of solutions to the control of spread of epidemic diseases. In this paper, the analysis of a vaccination Mathematical model of an infectious Measles disease was carried out. The Model which is an SVEIR epidemic model was investigated in which the incidence rate was considered. The model was formulated and analytical study of the formulated model showed that the model has two...

Article in Press

On The Action Of Mobile Loads On An Uninterrupted Cylindrical Tunnel

The stationary transport load acts on the surface of the cavity or on the inner surface of the shell reinforcing cavity. The speed of the load movement is assumed to be subsonic, which corresponds to the modern transport speeds in the underground facilities under study. To describe the motion of a half-space and thick-walled shells, dynamic equations of the theory of elasticity in Lamé potentials are used, and for...

Article in Press

Hydromagnetic natural convection flow with heat absorption in annulus under radial magnetic field

This paper examines the heat absorption fluid on natural convection flow in a vertical concentric annulus under a radial applied magnetic field. Exact solution momentum and energy equation are solved. The aim is to see the influence of each governing parameter on dimensionless velocity, temperature, volume flow rate, rate of heat transfer, skin friction and bulk temperature are discussed. During the course of the numerical...

Article in Press

On a character associated to a representation of Cartan subgroup of an acceptable Lie group

Let G be a connected semi-simple Lie group, g its Lie algebra, j a Cartan subalgebra of g, jc be a complexification of j and Jc the analytic Cartan subgroup associated with jc. Let Φ denote the set of roots of the pair (gc,jc). If α is an element of Φ, then there exists a holomorphic homomorphism ξα of Jc into C* such that : ξα(expH) = eα(H) ∀ H ∈ jc. Let π be a representation of jc in a finite dimensional vector space...

Article in Press

Degree of Vertices and Number of edges in a Mixed Graph

In the study of a graph theory, degrees of vertices, number of edges are among the important theoretical terms which are helpful in the study of discrete structures and their properties. This manuscript attempts to present the relationship between number of edges and degrees of vertices in a mixed graph

Article in Press

NEW DISCOVERY ON GOLDBACH CONJECTURE

In this paper, a rigorous proof of the strong Goldbach Conjecture is provided. This proof is mainly based on application of Chebotarev -Artin theorem ,Mertens formula ‘s . By using the principle of inclusion -exclusion of Moivre in the set which elements are in arithmetic progression We show that it is always possible to find at least one pair of prime numbers according to the validity of the condition [1]. Moreover,...

Article in Press

An elegant and short proof of Goldbach conjecture

In this paper several methods are examined for proving the Goldbach conjecture. At the preliminary analysis stage a Diophantine equation solution method is proposed for Goldbach partition of a Goldbach number. The proof method proposed however is found to be incomplete since it does not have mechanisms for dealing with the prime gap problem. On the further analysis section some graphical and linear analytical methods are...

Article in Press

Implementing Chiu’s fixed lifetime inventory model

The fixed lifetime inventory system with zero or positive leadtime has being considered by various authors, with the aim of reducing the quantity outdating in the inventory system. Chiu (1995), considered the positive leadtime case by approximating the expected shortage quantity, the expected outdate quantity and the expected on hand inventory. His result was a ordering policy where are the ordered quantity and the reorder...

Article in Press

RESULTS ON GENERALIZED FUZZY SOFT TOPOLOGICAL SPACES

In this paper the concept of a generalized fuzzy soft point is introduced and some of its basic properties are studied. Also, the concepts of a generalized fuzzy soft base (subbase) and a generalized fuzzy soft subspace are introduced and some important theorems are established

Article in Press

Some combinatorial problems in the symmetric inverse semigroups

The subsemigroup of order-preserving and order-decreasing and order-reversing partial one-one transformation were studied. The element of partial one-one transformation was constructed and the combinatorial results of their cardinality, fix point, height, waist and idempotent were enumerated. Finally, the results were presented and highlighted open problems.

Article in Press

Given a differential equation with the condition ), where is any point in the domain of y, we can define an initial value problem as a problem whose solution is being sought for at a particular point. Therefore an initial value problem is of the form; , ), for where is the domain of .In this work we shall concern ourselves with the analysis of first order ordinary equations of initial value type which are of the form =...

Article in Press

Analytical Solution of the Ebola Epidemic model by Homotopy Perturbation method

In this paper, we present a mathematical model of Ebola disease comprising differential equations. We employ the Homotopy perturbation method to the proposed model to determine both the analytic and approximate solutions. Following our results we then observed that Homotopy perturbation method is one the most crucial and effective as just few perturbation terms are enough to obtain a reasonable accurate solution. The...

Article in Press

Government revenue and expenditure relationship had been a source of concern in statistics, given its relevance in National Economic Planning and Policy making in Nigeria especially with respect to growth and stability of the economy. The purpose of this research work is to investigate and compare the estimates of 2SLS and 3SLS in predicting revenue and expenditure of Nigeria using revenue and expenditure data sourced from...

Article in Press

Heteroscedasticity in One Way Multivariate Analysis Of Variance

This work aimed at developing an alternative procedure to MANOVA test when there is problem of heteroscedasticity of dispersion matrices and compared the procedure with an existing multivariate test for vector of means (by Johanson). The alternative procedure was developed by adopting Satterthwaite’s approach of univariate test for unequal variances. The approach made use of approximate degree of freedom method in one way...

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