Theses & Desertations
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USE OF TAYLOR’S SERIES EXPANSION IN DEVELOPING FINITE DIFFERENCE METHODS FOR SOLVING THE WAVE EQUATION
(University of Eldoret, 2021)Hyperbolic partial differential equations (PDEs) are used to model physical phenomena such as wave propagation. Among the simplest hyperbolic equations are the 1D advection equation which is a first order PDE and the 1D ... 
MATHEMATICAL MODELLING ON THE IMPACT OF HOSPITALIZATION IN THE MANAGEMENT OF TYPHOID FEVER
(University of Eldoret, 2021)Typhoid fever disease is an infectious ailment which mostly leads to diarrhoea, headache, high fever and stomach pains. This disease is majorly caused by a bacterial infection known as Salmonella typhi. Typhoid fever has ... 
MATHEMATICAL MODELING OF FLOW OF WATER IN AN OPEN CHANNEL OF PARABOLIC CROSSSECTION
(University of Eldoret, 2021)This study investigates open channel flows with a parabolic crosssection. The objectives of this study were to examine the effects of top width, channel slope, and energy coefficient on flow velocity. The methodology used ... 
THE EFFECT OF TWO LATERAL INFLOW CHANNELS ON MAIN CHANNEL DISCHARGE
(University of Eldoret, 2021)In this study, we examined the flow from two lateral inflow channels in a manmade open rectangular channel of an incompressible Newtonian fluid. The influence of crosssectional area, length of two lateral inflow channels, ... 
MATHEMATICAL MODELLING OF FLOW OF FERTILIZERWATER MIXTURE THROUGH SOIL AND ITS EFFECT ON PLANT GROWTH.
(University of Eldoret, 2021)The demand for food in developing countries is increasing daily due to population growth and dropping crop yields caused by climatic changes and acidic soils due to continuous use of inorganic fertilizers that are meant ... 
MODELING KEY DRIVERS OF UNDERFIVE CHILD MALNUTRITION IN MARSABIT COUNTY, KENYA USING GENERALIZED LINEAR MODELS
(University of Eldoret, 2021)Malnutrition remains one of the major problems in developing countries affecting people of all age groups. The severity of the crisis varies among specific groups, such as children under the age of five years. In Kenya, ... 
MODELING THE YIELD OF SOYBEAN (Glycine max (L.) Merrill) USING A FOUR COMPONENT MIXTURE EXPERIMENT IN THE PRESENCE OF VARIATION CREATED BY TWO PROCESS VARIABLES WITHIN SPLITPLOT DESIGN
(University of Eldoret, 2021)Use of mixture design has become wellknown in statistical modeling due to its utility in predicting any mixture's response and thus serving as the foundation for optimizing the predicted response on blends of different ... 
BAYESIAN SEMIPARAMETRIC AND NONPARAMETRIC ESTIMATION OF RECEIVER OPERATING CHARACTERISTIC (ROC) SURFACE
(University of Eldoret, 2015)Receiver operating characteristic curve analysis is widely used in biomedical research to assess the performance of diagnostic tests. Estimation of receiver operating characteristic curves based on parametric approach has ... 
AN INVESTIGATION OF EFFECTS OF BOUNDARY LAYER THICKNESS ON A THIN FILM OF LIQUID FLOW DOWN AN INCLINED PLANE
(University of Eldoret, 2013)The motion of fluid substances can be described by the NavierStokes equations. These equations arise from the application of Newton's second Law of motion to a fluid. In this study, NavierStokes equations in two ... 
MODELING THE EFFECTIVENESS OF CONTROL MEASURES TOWARDS HIV/AIDS AND PNEUMONIA COINFECTION
(University of Eldoret, 2013)The lungs are a principal target of HIVassociated complications and persons with HIVinfection are at an increased risk for a wide spectrum of opportunistic Pneumonias. In this research an HIV/AIDS and Pneumonia coinfection ... 
HEAD LOSS ANALYSIS IN PIPE FLOW SYSTEMS
(University of Eldoret, 2016)Fluid flow in pipes is accompanied by major and minor friction losses. Major friction losses are as a result of loss of energy in pipes due to viscous effects of the fluids on pipe surfaces. Minor friction losses do occur ... 
SOME NEW SECOND ORDER ROTATABLE DESIGNS BASED ON BALANCED INCOMPLETE BLOCK DESIGN
(University of Eldoret, 2014)The purpose of this study was to construct some new second order rotatable designs using balanced incomplete block designs. The study of rotatable designs is mainly concerned with the estimation of absolute response in ... 
AN APPLICATION OF MIXTURE EXPERIMENTS IN FORMULATION OF POULTRY FEED FOR MODELLING CHICK WEIGHT
(University of Eldoret, 2019)Poultry farming in Africa has significantly grown over the years. It is highly dependent on the economy and type of feed used. The quality, components, proportions, rations and storage of feeds is quite critical in poultry ... 
CONSTRUCTION OF MODIFIED THIRD ORDER ROTATABLE DESIGNS THROUGH PAIRWISE BALANCED DESIGNS
(University of Eldoret, 2019)Rotatable designs are designed for use of response surfaces. Rotatability is evidently a greatly popular property for Response Surface Methodology (RSM). RSM is a group of statistical and mathematical technique valuable ... 
HYDRODYNAMIC ANALYSIS OF A FIXED INCLINE SLIDER BEARING
(University of Eldoret, 2016)In the present day technological scenario, machines rotating at high speeds and carrying heavy rotor loads are used. As a result, fixed incline slider bearings are used. They are designed for high axial loads. When a bearing ... 
THE ACOUSTIC WAVE PROPAGATION EQUATION: THE DISCONTINUOUS GALERKIN TIME DOMAIN SOLUTION APPROACH
(University of Eldoret, 2019)This thesis presents a finite element method, discontinuous Galerkin time domain approach that solves the 2D acoustic wave equation in cylindrical coordinates. The method is based on discretization of the wave field into ... 
FINITE DIFFERENCE SCHEMES ARISING FROM OPERATOR SPLITTING FOR SOLVING TWO DIMENSIONAL SYSTEM OF BURGERS’ EQUATION
(University of Eldoret, 2016)Solving Burgers equation continues to be a challenging problem. Burgers‟ equation is a fundamental partial differential equation from fluid mechanics. It occurs in various areas of applied mathematics, such as modeling of ... 
EFFECTS OF PRICES BEFORE AND AFTER TAX, AND INCOME PER CAPITA ON TOBACCO CONSUMPTION IN KENYA: COINTEGRATION APPROACH
(University of Eldoret, 2021)Smoking of cigarette is regarded as one of the most cause of deaths among other factors in the world. It is also a causative agent of the various cancerous diseases. It is by fact though preventable, the major cause ... 
SOLVING MATHEMATICAL WORD PROBLEMS IN SECONDARY SCHOOLS: A CASE OF TINDERET SUBCOUNTY, NANDI COUNTY KENYA
(University of Eldoret, 2020)Mathematical word problems are concepts taught at the end of every topic to allow students apply the content that was taught. The study focused on investigating the student’s difficulties in solving mathematical word ... 
ON ALMOST SIMILARITY AND SOME CLASSES OF OPERATORS IN HILBERT SPACES
(University of Eldoret, 2021)Similarity is a recent area of study on classes of operators in Hilbert spaces. The study of operators, under similarity and quasisimilarity concepts, motivated researchers to extend their research to almost similarity ...