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Browsing Mathematics and Applied Mathematics by Type "Thesis"
Now showing items 1-20 of 62
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(University of Pretoria, 2015)We introduce a new framework of generalized operators to handle vector valued distributions, intertwined evolution operators of B-evolution equations and Fokker Planck type evolution equations. Generalized operators capture ...
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(University of Pretoria, 2023)Heat transfer modelling is routinely used to model the interaction between a heat source and a material specimen in applications such as additive manufacturing and medical surgery. The Fourier heat conduction model ...
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(University of Pretoria, 2006-08-26)Please read the abstract/summary in the section 00back of this document.
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(University of Pretoria, 2022-11-28)In this dissertation, we use the categorical notions of direct and inverse limits to solve certain problems in analysis; in particular, in the field of vector lattices. Chapter 1 provides a general overview and motivation ...
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(University of Pretoria, 2015)The Compactness Theorem for graph colourings, by De Bruijn and Erd}os, can be restated as follows. If all the nite subgraphs of a graph G are homomorphic to a nite complete graph Kn, then G is also homomorphic to Kn. ...
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(University of Pretoria, 2019)In mathematical epidemiology, the threshold theory introduced by W.O. Kermack and A.G. McKendrick (1927) can be expressed in terms of the basic reproduction number R0. This is defined as the average number of secondary ...
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(University of Pretoria, 2009-04-08)In this study, I investigate how successful provided response questions, such as multiple choice questions, are as an assessment format compared to the conventional constructed response questions. Based on the literature ...
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(University of Pretoria, 2015)We design and investigate the reliability of various nonstandard nite di erence (NSFD) schemes for the SIS epidemiological model in three di erent settings. For the classical SIS model, we construct two new NSFD schemes ...
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(University of Pretoria, 2011)Please read the abstract in the 00front section of this document.
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(University of Pretoria, 2006-10-17)Please read the abstract in the front section of this document
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(University of Pretoria, 2013-05-17)The LULU operators Ln and Un operate on neighbourhoods of size n. The Discrete Pulse Transform (DPT) of images is obtained via recursive peeling of so-called local maximum and minimum sets with the LULU operators as n ...
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(University of Pretoria, 2015)The thesis addresses two main problems. The first is that of designing reliable numerical method for approximating an SIS (susceptible-infectedsusceptible) disease transmission model with discrete time delay. This ...
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(University of Pretoria, 2015)The Allee e ect is characterized by a positive relationship between population density or size and the per capita population growth rate in small populations. There are several mechanisms responsible for the Allee e ects. ...
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(University of Pretoria, 2010)In this thesis, we investigate the stochastic three dimensional Navier-Stokes-∝ model and the stochastic three dimensional Leray-∝ model which arise in the modelling of turbulent flows of fluids. We prove the existence of ...
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(University of Pretoria, 2006-12-08)We consider linear mathematical models for elastic plates and beams. To be specific, we consider the Euler-Bernoulli, Rayleigh and Timoshenko theories for beams and the Kirchhoff and Reissner-Mindlin theories for plates. ...
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(University of Pretoria, 2020)In this thesis mathematical models for vibrating elastic structures are derived and analysed using finite element approximations where necessary. The most important contribution in this thesis is the development of the ...
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(University of Pretoria, 2000)Please read the abstract in the section 00front of this document
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(University of Pretoria, 2014)This thesis is divided in three main chapters devoted to the study of finite element approximations of fluid flows with special nonlinearities coming from boundary con- ditions. In Chapter 1, we consider the finite ...
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(University of Pretoria, 2014)In this thesis we design and implement finite volume schemes to approximate the solution of 1-dimensional (partial) differential equations. Most of these partial differential equations (PDEs) are made up of not only ...
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(University of Pretoria, 2007-02-23)The equation of motion for the flows of incompressible Newtonian fluids (Navier Stokes equations) under no-slip boundary conditions have been studied deeply from many perspectives. The questions of existence and uniqueness ...
Now showing items 1-20 of 62