Table of Contents List of Tables List of Figures Acknowledgement Chapter One Introduction Background Information Statement of Problems Purpose and Objective of Study Outline Chapter Two - Estimators in Adaptive Cluster Sampling Introduction Ordinary Estimators in Adaptive Sampling The Improved Estimators Forms of Adaptive Sampling Frame Free Adaptive Designs Sampling Without Replacement of Clusters Chapter Three - Model Assisted Adaptive Cluster Sampling Introduction Proposed Model Assist...
ABSTRACT Present work is concerned with solved a coefficient inverse problem of one-dimensional parabolic equation by a higher-order compact finite difference method and we used this a fourth order efficient numerical method to calculate the function u(x, t) and the unknown coefficient a(t) in a parabolic partial differential equation. Also discussed the accuracy and efficiency of the fourth order finite difference formula compare with other finite difference methods such as FTCS explicit sc...
ABSTRACT This Thesis investigates the nature of the parastrophs and derivatives of loops both of Bol-Moufang (Extra, Moufang, Central loops) and non Bol-Moufang (Conjugacy Closed loops) type in general. Extra loops is the case study. By using Fenyves (1968, 1969) definition of Extra loops and the results of Goodaire and Robinson (1982, 1990), this work shows that the parastrophs and derivatives of an Extra loop exist. Taking into consideration Ken Kunen (1996) results, it has been establishe...
ABSTRACT This study investigated the types of strategies used by Grade 12 ordinary level mathematics learners to solve algebraic word problems in Namibian settings in the Kavango East Educational Region. The study used a descriptive qualitative research approach in which the researcher identified the strategies used by Grade 12 learners to solve algebraic word problems. The study used observations and focus group discussions as methods for data collection. The researcher independently conduc...
Abstract This study will investigate the strongness property for nearness and nearness partial frames. We initially revisit the concepts of strong and totally strong nearness frame and study their closures under completion. We also explore the properties of totally strong and uniformly completely regular nearness frames, and study the relationship between them. We show that the category of totally strong nearness frames is coreflective in the category of uniformly completely regular nearness...
ABSTRACT Unsteady heat and mass transfers are important transport phenomena that are found in many engineering and industrial applications. In such systems, the variations in the fluid flow result in variations in the heat flux for fluid-solid temperature difference. In this study, analytical and theoretical investigations of some non-linear problems arising from unsteady heat and mass transfer through porous media are considered. Analytical models are developed. These are non-linear mathem...
Abstract The mathematical study of human pulse wave was studied with the view to gaining an insight into physiological situations. Fluid-Structure Interaction (FSI) in blood flow is associated with pressure pulse wave arising from ventricular ejection. Solution of the coupled system of non-linear PDEs that arose from the FSI was sought in order to determine pressure. Further study on pressure pulse waves showed that the Korteweg-de Vries (KdV) equations hold well for the propagation of nonl...
ABSTRACT Infectious diseases have become problematic throughout the world, threatening individuals who come into contact with pathogens responsible for transmitting diseases. Pneumoccocal pneumonia, a secondary bacterial infection follows an influenza A infection, responsible for morbidity and mortality in children, elderly and immuno–comprised groups. The aims of this Thesis are to; develop a mathematical model for within–host co–infection of influenza A virus and pneumococcus, model ...
ABSTRACT There is speed limitation on hardware built on Weighted Number Systems (WNS) due to carry propagation. In recent years, attempts have been made to circumvent the speed limitation imposed on WNS in arithmetic operations by investigating into number systems such as Residue Number System (RNS) which has special carry characteristics for parallel computations. RNS is carry-free in nature and is able to support parallel and high speed arithmetic such as addition and multiplication. Overfl...
ABSTRACT The no-slip boundary condition at a solid-liquid interface is primarily to understanding fluid mechanics. However, this condition is an assumption that cannot be derived from first principles and could, in theory, be violated. In this work, we investigate numerically and theoretically the subject involving partial slip boundary conditions. The physical imagery that emerges is that of a complex behaviour at an unsteady hydromagnetic stretching solid interface, with stagnation point ...
ABSTRACT In this thesis, the notion of quasiconvex functions on time scales and some properties are established. The subdifferential for quasiconvex function on time scales is presented as well as some properties regarding quasiconvex function. Some Jensen’s inequalities for quasiconvex functions on time scales are also given with some applications. The study again proves that Jensen’s inequality holds for quasiconcave monetary utility function in conjunction with convex, concave, quasi...
ABSTRACT The Currency in Circulation is the outstanding amount of notes and COIns circulated in the economy and are the most liquid monetary aggregate. In this study, data on monthly Currency in Circulation obtained from the Bank of Ghana database was modelled using both SARIMA model and Regression model with ARIMA errors. The results revealed that ARIMA (0, 1, 1)(0, 1, 1)12 model was the best SARIMA model for the Currency in Circulation. This model has the least AIC of -372.16, AICc of -37...
ABSTRACT Generally this research used Linear Programming techniques to investigate the budgetary allocation of MTN Company for effective media selection planning. The problem was formulated as a linear programming technique by using the available data obtained from the company and other media sources. Mathematical software which embodied the simplex algorithm techniques such as Quantitative Manager for Business version 3.2 and Linear Programming Solver version 5.2.2 were used to solve the res...
ABSTRACT This research is essentially an upgrade or extension of the results of Audu on wreath product of permutation groups. In this work, a generalization of the concept of wreath product is considered based on the notion of an algebraic structure called Permutation group. Some basic procedures for computing wreath products of groups, the construction of groups as wreath products of cyclic groups and a generation of Sylow p-subgroups from resulting Cyclic groups are investigated. I mainly a...
ABSTRACT The impacts of extremely high temperatures on plants, human beings and animals’ health have been studied in several parts of the world. However, extreme events are uncommon and have only attracted attention recently. In this study, extreme temperature behaviour was modelled through the application of extreme value theory using maximum monthly temperatures over a 32 years period. Data on monthly maximum temperature from the Upper East Region were modelled using generalized extreme ...