ABSTRACT Since the idea of computer Technology came into existence a lot of things have taken different shapes in the world which is now a global village. Among these changes is the area of using computer in making our job easier with the aid of electronic devices by finding easier solutions to om problems. This is applied in almost, if not all areas of human endeavor, the statistical analysis not being overlooked. In the course of this project research we looked extensively into statistical...

ABSTRACT This study models natural turbulent convection in a rectangular enclosure with localized heating and cooling. The equations used in modeling the flow are the equation of continuity, momentum equation and the energy equation. These equations are decomposed using the Reynolds decomposition then the decomposed equations are non – dimensionalised and reduced using the Boussinesq assumptions. The model that is considered is a rectangular enclosure with one side wall being heated and the...

ABSTRACT There have been many investigations on the combinatorial structures and invariants over the group actions on the subsets of its elements. Studies on Group Theory have yielded varied and important results in the advancement of Algebra. Several studies have also been made on Graph Theory. Some Mathematicians have studied the concept of automorphisms on graphs thereby yielding important results. Automorphism groups from graphs containing the cyclic and dihedral groups, Cn and Dn respect...

Abstract The action of the symmetric group S5 on the cosets of its non-maximal subgroups is an aspect that seems to have received less attention for sometime. Most studies have infact looked on the action of symmetric group S5 on the cosets of its maximal subgroups leaving many properties about its action on non-maximal subgroups unknown. This project has therefore looked at the action of the symmetric group S5, on the cosets of some of its non-maximal subgroups. Namely; the cyclic grou...

ABSTRACT In this project we compare the performance of two different estimators of the population total. One estimator is model-based and the other one is model assisted. We look at model-based properties of the two estimators. We observe that under the general model, the biases of the two estimators are different

ABSTRACT In this dissertation, it is considered, the investigation of the Fourier Transform and the fundamental solutions of mechanical models with internal body forces. Although, there are many models, only two models are considered on the review, namely heat conduction and linear isotropic elasticity. For the investigation, the statement of the problem bases only on the linear isotropic elasticity problem. In working with calculations, the Fourier Transform, Inverse Fourier Transform, Resi...

ABSTRACT Different physical phenomena can be represented in terms of nonlinear problems for partial differential equations, however such problems are often subjected to singularities. Thus it gives rise to a permanent research interest to such problems. In the present study we provide reviews of essential approach applied to Cauchy problems and initial-boundary problems for hyperbolic equations based on latest results in this field. Also in this research we investigate the following problem ...

ABSTRACT This research presents the existence and uniqueness of a solution to nonlocal problem for a loaded parabolic equation. The nonlocal condition of first kind is expressed to its equivalent nonlocal condition of second kind, which is necessary for qualitative study about the solvability of the problem. The theoretical analysis of study on existence and uniqueness of a generalized solution to a nonlocal problem is studied using Galerkin method, apriori method to obtain the approximate s...

ABSTRACT In this work, Susceptible-Vaccination-Exposed-Infection-Treatment-Recovery mathematical model is proposed to study dog rabies disease transmission dynamics with vaccination and treatment in dog population group. Disease free and endemic equilibria were determined and subsequently their local and global stabilities were carried out. Tracedeterminant technique was used to determine local stability of disease free equilibrium point while Lyapunov function technique was used to determin...

Abstract In this research we consider discontinuous dynamical systems. We discuss the uniqueness of solutions and the stability analysis. We also report a number of sufficient conditions for uniqueness. We also present specific results to piecewise continuous vector fields and differential inclusions, with some examples and applications

Abstract In this research we consider discontinuous dynamical systems. We discuss the uniqueness of solutions and the stability analysis. We also report a number of sufficient conditions for uniqueness. We also present specific results to piecewise continuous vector fields and differential inclusions, with some examples and applications

ABSTRACT This study was put in place in order to review simple model problems in continuum mechanics with internal body forces. The main objective of this study is to analyze simple model problems in continuum mechanics with internal body forces, which include the steady flow between parallel plates with internal body forces, which include review of internal body forces with its applications, internal body forces and moments, string with internal body forces, membrane with internal body forc...

ABSTRACT The study of WEIGHTS AND RANKS OF CAUSES OF ROAD ACCIDENTS USING ANALYTIC HIERARCHY PROCESS (AHP) IN DODOMA REGION has been conducted in order to provide a broad understanding to the seriousness of problem of Road Accidents in Tanzania. Since the problem of road accidents in Tanzania is highly increasing year after year, various preventive measures have been taken to reduce the rate of road accidents. Thus it is important to understand the actual causes which have high contribution ...

ABSTRACT This dissertation centers on comparing two methods based on consistence and ranking preservation of alternatives in analytic hierarchy process(AHP) by using the best job example. These two methods logarithmic least square method (LLSM) and eigenvalue method (EM) are used to develop approximations of ratio scales from a positive reciprocal matrix. The measurement of consistency and rank preservation are the main criteria for comparison of these two methods. The priorities obtained f...

Abstract We find new exact solutions to the Einstein-Maxwell field equation for charged anisotropy stellar bodies. We are considering the stellar object that is anisotropic and charged with linear equation of state consistent with quark stars. We have new choice of measure of anisotropy and adopted Sunzu’s metric function. The solutions are obtained after considering the transformed Einstein-Maxwell field equations for charged anisotropic matter. In our models we regain previous anisotropi...