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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 ... -
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 ... -
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 ... -
HYDRODYNAMIC ANALYSIS OF A FIXED INCLINE SLIDER BEARING
(2016-05-23)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 ... -
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 ... -
AN INVESTIGATION OF EFFECTS OF BOUNDARY LAYER THICKNESS
(2016-05-20)The motion of fluid substances can be described by the Navier-Stokes equations. These equations arise from the application of Newton's second Law of motion to a fluid. In this study, Navier-Stokes equations in two ... -
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 Navier-Stokes equations. These equations arise from the application of Newton's second Law of motion to a fluid. In this study, Navier-Stokes equations in two ... -
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 ... -
AN INVESTIGATION ON MAGNETOHYDRODYNAMICS FLUID FLOW BETWEEN TWO PARALLEL INFINITE PLATES SUBJECTED TO AN INCLINED MAGNETIC FIELD AND VARYING TEMPERATURES
(2016-05-20)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 ... -
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 ... -
MATHEMATICAL MODELING OF HIV/AIDS DYNAMICS AMONG THE FISHERFOLK AS A VECTOR FOR HIV: A CASE STUDY OF LAKE VICTORIA METAPOPULATIONS
(University of Eldoret, 2023-06)HIV/AIDS pandemic has remained the leading causes of death among the sexually transmitted diseases. To date, there has been no cure, and all the intervention measures involve preventive and reduction of the severity of the ... -
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 ... -
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 ... -
MODELING KEY DRIVERS OF UNDER-FIVE 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 EFFECTIVENESS OF CONTROL MEASURES TOWARDS HIV/AIDS AND PNEUMONIA CO-INFECTION
(University of Eldoret, 2013)The lungs are a principal target of HIV-associated complications and persons with HIV-infection are at an increased risk for a wide spectrum of opportunistic Pneumonias. In this research an HIV/AIDS and Pneumonia co-infection ... -
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 ... -
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 SPLIT-PLOT DESIGN
(University of Eldoret, 2021)Use of mixture design has become well-known 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 ... -
MODELLING COVID-19 DYNAMICS (SPREAD AND CONTROL) AND THE EFFECTS OF A PREVENTIVE VACCINE
(University of Eldoret, 2023-09)Corona virus 2019 (COVID-19) have been pandemic both in Africa and the whole world. This work formulated and analyzed mathematical model of COVID-19 that monitors the temporal dynamics of the disease in the presence of ... -
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 ... -
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 ...