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The Acoustic Wave Propagation Equation: Discontinuous Galerkin Time Domain Solution Approach
(Applied Mathematical Sciences Vol. 13, 2019, no. 16, 753 - 767, 2019)This paper discusses a finite element method, discontinuous Galerkintime domain approach that solves the 2-D acoustic wave equation incylindrical coordinates. The method is based on discretization of thewave ... -
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 2-D acoustic wave equation in cylindrical coordinates. The method is based on discretization of the wave field into ... -
Analysis and Modelling of Extreme Rainfall: A Case Study for Dodoma, Tanzania
(Asian Journal of Probability and Statistics, 2019)The analysis of climate change, climate variability and their extremes has become more important as they clearly affect the human society and ecology. The impact of climate change is reflected by the change of frequency, ... -
Application of ARIMA, and hybrid ARIMA Models in predicting and forecasting tuberculosis incidences among children in Homa Bay and Turkana Counties, Kenya
(PLOS DIGITAL HEALTH, 2023-02)Tuberculosis (TB) infections among children (below 15 years) is a growing concern, particularly in resource-limited settings. However, the TB burden among children is relatively unknown in Kenya where two-thirds of ... -
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 ... -
Application of Principal Component Analysis to Crime Data, Case Study: Mathare Slums, Nairobi County in Kenya
(AmericanJournalofTheoreticalandAppliedStatistics, 2019)The study focuses on statistical analysis of causes of crimes in Mathare slums, Nairobi county using data collected via questionnaires in April 2018.The Correlation analysis was carried out to explain the ... -
APPLICATIONS OF BAYESIAN METHODS IN ANALYSIS OF VARIANCE
(2016-05-20)Analysis of variance (ANOVA) is a standard method for describing and estimating heterogeneity among the means of a response variable across the levels of multiple categorical factors. In most experimental settings, ANOVA ... -
BAYESIAN SEMI-PARAMETRIC AND NON-PARAMETRIC 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 ... -
Central Limit Theorem and Its Applications in Determining Shoe Sizes of University Students
(Asian Journal of Probability and Statistics, 2019)The Central limit theorem is a very powerful tool in statistical inference and Mathematics in general, since it has numerous applications such as in topology and many other areas. For the case of probability theory, it ... -
Construction of a Five-Level V-Dimensional Modified Third Order Rotatable Designs using a Pair of Pairwise Balanced Designs
(African Journal of Education, Science and Technology, 2019)Rotatable designs are devised 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 ... -
CONSTRUCTION OF MODIFIED THIRD ORDER ROTATABLE DESIGNS THROUGH PAIRWISE BALANCED DESIGNS
(2019-11-30)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 ... -
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 ... -
DELAY DIFFERENTIAL EQUATION MODEL OF HIV-1 IN VIVO DYNAMICS IN THE PRESENCE OF ARV TREATMENT
(2016-05-18)ABSTRACT Many mathematical models have been developed to describe the immunological response to infection with human immunodeficiency virus (HIV-1). The models have been used to predict the evolutions of HIV-1 in vivo ... -
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 ... -
Detecting Remote Access Network Attacks Using Supervised Machine Learning Method
(MECS Press, 2023)Remote access technologies encrypt data to enforce policies and ensure protection. Attackers leverage such techniques to launch carefully crafted evasion attacks introducing malware and other unwanted traffic to the ... -
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 ... -
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 ... -
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, ... -
EFFECT OF VACCINATION ON MATHEMATICAL MODELING OF COVID-19
(International Journal of Science Academic Research, 2023-02)Corona virus 2019 (Covid-19) have been endemic both in Africa and the whole world. In this paper we have formulated and analyze mathematical model of covid-19 that monitors the temporal dynamics of the disease in the ... -
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 ...