Applied Mathematics
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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 non-Newtonian nanofluid models.
(2019)A theoretical study of boundary layer flow, heat and mass transport in non-Newtonian nanofluids is presented. Because of the diversity in the physical structure and properties of non-Newtonian 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 semi-arid nature of the land mass which they drain. The interaction of this variability with that of the marine environment (seasonality, ... -
On paired decoupled quasi-linearization 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 ... -
Some aspects of strong gravity effects on the electromagnetic field of a radio pulsar magnetosphere : solving the Maxwell’s equations.
(2019)The general relativistic (GR) effects of a neutron star play a substantial role on the physics at the stellar surface. These neutron stars also host a very strong magnetic field and spin with periods of a few seconds to ... -
Relativistic astrophysical models of perfect and radiating fluids.
(2019)Abstract available in PDF file. -
Numerical solution of the Klein-Gordon equation in an unbounded domain.
(2018)Abstract available in PDF file. -
Giant Radio Halos and Relics in ACTPol Clusters.
(2017)Galaxy clusters are the largest gravitationally-bound structures in the universe. They act as the largest astrophysical laboratories in the universe and are extremely interesting objects to study as they are at crossroads ... -
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 well-known PDEs which occur in certain areas of mathematical physics are studied. We focus on wave equations that arise in plasma physics, ... -
The characteristic approach in determining first integrals of a predator-prey system.
(2016)Predator-Prey systems are an intriguing symbiosis of living species that interplay during the fluctuations of birth, growth and death during any period. In the light of understanding the behavioural patterns of the ... -
Commissioning and characterisation of the C-Band All-Sky Survey Southern telescope.
(2015)Abstract available in PDF file. -
Gravitational lensing of the cosmic microwave background: techniques and applications.
(2016)We have entered an era of precision cosmology, in which the parameters of the standard cosmological model have been well constrained by observations. The cosmic microwave background (CMB) has played a vital role in ...
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