Department of Mathematics and Computer Science: Recent submissions
Now showing items 41-60 ya 93
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MODELING THE EFFECTS OF CROP SPACING AND INORGANIC FERTILIZER ON THE POTATO TUBER YIELD AND SIZE USING FIRST ORDER TWO-LEVEL FACTORIAL DESIGN
(University of Eldoret, 2022-06)The essential nutrients for growth and productivity to all living organisms, specifically plants are Nitrogen, Phosphorus and Potassium. However, there are other factors that contribute to optimum yield of crops; these ... -
FORECASTING TUBERCULOSIS INFECTIONS USING ARIMA AND HYBRID NEURAL NETWORK MODELS AMONG CHILDREN BELOW 15 YEARS IN HOMA BAY AND TURKANA COUNTIES, KENYA
(University of Eldoret, 2022-11)Tuberculosis (TB) among children under the age of 15 is a significant public health problem, particularly in resource-constrained settings and is among top ten most dangerous causes of death worldwide, and ranks among the ... -
Mathematical modeling of flow of fertilizer-water mixture through soil and its effect on concentration and plant growth
(International Journal of Statistics and Applied Mathematics, 2021)In this research we aim to demonstrate and explore how mathematical modeling can be used to aid people gain knowledge and understanding of plants and, in particular, interactions between plants, fertilizers, soil, and ... -
On Unitary Invariance of Some Classes of Operators in Hilbert Spaces
(Pure Mathematical Sciences, 2020)It is a known fact in operator theory that two similar operators have equal spectra but they do not necessarily have to belong to the same class of operators. However, under the stronger relation of unitary equivalence ... -
NUMERICAL SIMULATION OF EFFECTS OF VELOCITY AND DIFFUSION COEFFICIENT ON CONCENTRATION OF CONTAMINANTS IN FLUID FLOW
(University of Eldoret, 2022)The study developed and implemented Implicit and explicit schemes for solving one dimensional convection –diffusion equation modeling concentration of contaminant in a fluid flow .The study uses method of lines and exact ... -
AN INVESTIGATION ON MAGNETOHYDRODYNAMICS FLUID FLOW BETWEEN TWO PARALLEL INFINITE PLATES SUBJECTED TO AN INCLINED MAGNETIC FIELD AND VARYING TEMPERATURES
(University of Eldoret, 2015)Magnetohydrodynamics (MHD) is the study of electrically conducting fluids in the presence of magnetic fields. This study examined the motion of a viscous, electrically conducting and incompressible fluid flowing steadily ... -
SOLUTION OF THE NON-LINEAR THIRD ORDER PARTIAL DIFFERENTIAL EQUATION OF A STEADY HYDROMAGNETIC FLOW THROUGH A CHANNEL WITH PARALLEL STATIONARY POROUS PLATES
(University of Eldoret, 2018)This thesis deals with the solution of the non-linear third order partial differential equation of a steady hydromagnetic laminar flow of a conducting viscous incompressible fluid through a channel with two parallel ... -
A DESIGN OF A LOW-REYNOLDS NUMBER AIRFOIL THAT LEADS TO THE FORMATION OF SEPARATION BUBBLES AT THE LEADING EDGE
(University of Eldoret, 2014)The aerodynamics of airfoils at low Reynolds numbers (Re) has become increasingly important from both fundamental and industrial points of view, due to recent developments in small wind turbines, small unmanned aerial ... -
OVERALL CENTRAL MOMENTS OF TRAFFIC DELAY AT A SIGNALIZED INTERSECTION
(University of Eldoret, 2013)Overall traffic delay model for estimating the mean and variance at a signalized intersection is discussed. The model was developed under basis of two delay components, namely deterministic and stochastic components. The ... -
STUDY OF STEADY AND UNSTEADY VISCOUS INCOMPRESSIBLE MHD FLUID FLOW
(University of Eldoret, 2017)An analytical study of laminar steady, viscous, incompressible Couette fluid flow between two infinite parallel plates under the influence of transverse magnetic field is studied. The resulting governing partial differential ... -
E-OPTIMAL DESIGNS FOR SECOND-DEGREE KRONECKER MODEL MIXTURE EXPERIMENTS
(University of Eldoret, 2013)Many products are formed by mixing together two or more ingredients. For example, in building construction, concrete is formed by mixing sand, water and cement. Many practical problems are associated with investigation of ... -
Optimization of Split-Plot Design in the Context of Mixture Process Variable Settings
(Asian Journal of Probability and Statistics, 2021-04)In the presence of process variables, a mixture design has become well-known in statistical modeling due to its utility in modeling the blending surface, which empirically predicts any mixture's response and serves as the ... -
Exploration of D-, A-, I- and G- Optimality Criteria in Mixture Modeling
(Asian Journal of Probability and Statistics, 2021-05)A design optimality criterion, such as D-, A-, I-, and G- optimality criteria, is often used to analyze, evaluate and compare different designs options in mixture modeling test. A mixture test is an experiment where ... -
The effect of a difference in angle in two lateral inflow channels on the main channel's velocity
(International Journal of Statistics and Applied Mathematics, 2021-04)In this study, we examined the flow from two lateral inflow channels in a man-made open rectangular channel of an incompressible Newtonian fluid. The influences of the angles as it varies directly proportional to each ... -
Modeling Key Drivers of Under-Five Child Malnutrition in Marsabit County, Kenya: Application of the Logit Model
(Asian Journal of Probability and Statistics, 2021-04)Malnutrition remains one of the major problems in developing countries affecting both adults and children under 5 years. The use of binary logistic regression model was employed, and parameters of interest estimated. ... -
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 1-D advection equation which is a first order PDE and the 1-D ... -
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 CROSS-SECTION
(University of Eldoret, 2021)This study investigates open channel flows with a parabolic cross-section. 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 man-made open rectangular channel of an incompressible Newtonian fluid. The influence of cross-sectional area, length of two lateral inflow channels, ... -
MATHEMATICAL MODELLING OF FLOW OF FERTILIZER-WATER 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 ...
