Doctoral Degrees (Applied Mathematics)
Recent Submissions

Epidemiological modelling of foot and mouth disease control in cattle: incorporating time and spatial spread of disease dynamics.
(2019)Foot and mouth disease (FMD) is a contagious animal viral infection that can spread rapidly if the disease is not monitored and controlled. Therefore, protecting livestock and controlling foot and mouth disease is important ... 
A numerical study of heat and mass transfer in nonNewtonian nanofluid models.
(2019)A theoretical study of boundary layer flow, heat and mass transport in nonNewtonian nanofluids is presented. Because of the diversity in the physical structure and properties of nonNewtonian fluids, it is not possible ... 
Modelling the physical dynamics of estuaries for management.
(1996)South African estuaries are characterised by highly variable inflows owing to the semiarid nature of the land mass which they drain. The interaction of this variability with that of the marine environment (seasonality, ... 
On paired decoupled quasilinearization methods for solving nonlinear systems of differential equations that model boundary layer fluid flow problems.
(2018)Two numerical methods, namely the spectral quasilinearization method (SQLM) and the spectral local linearization method (SLLM), have been found to be highly efficient methods for solving boundary layer flow problems that ... 
New solutions for a radiating star.
(2018) 
Mathematical models for heat and mass transfer in nanofluid flows.
(2018)The behaviour and evolution of most physical phenomena is often best described using mathematical models in the form of systems of ordinary and partial differential equations. A typical example of such phenomena is the ... 
Relativistic astrophysical models of perfect and radiating fluids.
(2019)Abstract available in PDF file. 
An analysis of symmetries and conservation laws of some classes of PDEs that arise in mathematical physics and biology.
(2016)In this thesis, the symmetry properties and the conservation laws for a number of wellknown PDEs which occur in certain areas of mathematical physics are studied. We focus on wave equations that arise in plasma physics, ... 
Scalar perturbations of Schwarzschild black holes in modified gravity.
(2017)This thesis is concerned with the physics related to scalar perturbations in the Schwarzschild geometry that arise in modifed gravity theories. It has already been shown that the gravitational waves emitted from a ... 
The CBand All Sky Survey commissioning and data analysis.
(2017)The CBand All Sky Survey (CBASS) is a ground based radio survey that scans the entire sky in Stokes I, Q and U at a central frequency of 5 GHz with a 1 GHz bandwidth and an angular resolution of 0.73 . The experiment ... 
Dynamics of radiating stars in the strong gravity regime.
(2017)We model the dynamics of a spherically symmetric radiating dynamical star, emitting outgoing null radiation, with three spacetime regions. The local internal atmosphere is a twocomponent system consisting of standard ... 
Conformal symmetry and applications to spherically symmetric spacetimes.
(2018)In this thesis we study static spherically symmetric spacetimes with a spherical conformal symmetry and a nonstatic conformal factor. We analyse the general solution of the conformal Killing vector equation subject to ... 
Investigation of gravitational collapse of generalized Vaidya spacetimes.
(2015)In this thesis, we study the gravitational collapse of generalized Vaidya spacetimes which describe a combination of lightlike and timelike matter elds, commonly known as Type I and Type II elds, respectively, in the ... 
Evolution of galaxy cluster scaling relations over half a Hubble time.
(2016)Abstract available in PDF file. 
Analysis of multiple control strategies for preexposure prophylaxis and postinfection interventions on HIV infection.
(2016)Abstract available in PDF file. 
Bivariate pseudospectral collocation algorithms for nonlinear partial differential equations.
(2016)Abstract available in PDF file.