Browsing Doctoral Degrees (Applied Mathematics) by Title
Now showing items 2544 of 61

Fischer Clifford matrices and character tables of certain groups associated with simple groups O+10(2) [the simple orthogonal group of dimension 10 over GF (2)], HS and Ly.
(2011)The character table of any finite group provides a considerable amount of information about a group and the use of character tables is of great importance in Mathematics and Physical Sciences. Most of the maximal subgroups ... 
Fixed point theory in various generalized metrictype spaces.
(2022)In the theory of fixed points, there are numerous articles dealing with generalization of the basic Banach contraction mapping principle. There has been two lines of approach. The first one is concerned with generalizations ... 
Generalized radiating stellar models with cosmological constant and electric charge.
(2019)A general matter distribution, with the addition of the cosmological constant and electric charge, for the interior spacetime of a spherically symmetric radiating star undergoing gravitational collapse is considered in ... 
Generalized travelling wave solutions for a microscopic chemotaxis model.
(2014)In biology cell migration is one of the most critical processes, for it is decisive in the mechanisms leading to the beginning of life. The collective migration of cells via wave motion plays a key role in understanding ... 
Group theoretic approach to heat conducting gravitating systems.
(2013)We study shearfree heat conducting spherically symmetric gravitating fluids defined in four and higher dimensional spacetimes. We analyse models that are both uncharged and charged via the pressure isotropy condition ... 
Initial conditions of the universe : signatures in the cosmic microwave background and baryon acoustic oscillations.
(2012)In this thesis, we investigate the signatures of isocurvature initial conditions in the cosmic microwave background (CMB) through the temperature and polarization anisotropies, and in the largescale structure distribution ... 
Interative approaches to convex feasibility problems.
(2001)Solutions to convex feasibility problems are generally found by iteratively constructing sequences that converge strongly or weakly to it. In this study, four types of iteration schemes are considered in an attempt 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 ... 
Investigation of the South African public TVET colleges’ engineering official mathematics curriculum for entry level artisans.
(2023)One of the main objectives of any mathematics curriculum is to equip students with the necessary thinking skills for realworld problems. As the world evolves every day of our lives, so do the people living in it. ... 
Mathematical modeling of cancer treatments and the role of the immune system response to tumor invasion.
(2015)Despite the success of traditional cancer treatments, a definite cure to several cancers does not exist. Further, the traditional cancer treatments are highly toxic and have a relatively low efficacy. Current research ... 
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 ... 
Modelling the physical dynamics of estuaries for management purposes.
(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, ... 
Modelling waterborne diseases.
(2013)Waterborne diseases are among the major health problems threatening the life of individuals globally. This thesis investigates the dynamics of waterborne disease under different conditions and consequently determines ... 
Models in isotropic coordinates with equation of state.
(2014)In this thesis we consider spacetimes which are static and spherically symmetric related to the Einstein and EinsteinMaxwell system of equations in isotropic coordinates. We study both neutral and charged matter ... 
New exact solutions for neutral and charged shearfree relativistic fluids.
(2022)We study shearfree gravitating fluids in general relativity. We first analyse the integrability of the EmdenFowler equation that governs the behaviour of shearfree neutral perfect fluid distributions. We find a new ... 
New models for quark stars with charge and anisotropy.
(2014)We find new classes of exact solutions for the EinsteinMaxwell field equations. The solutions are obtained by considering charged anisotropic matter with a linear equation of state consistent with quark stars. The field ... 
New solutions for a radiating star.
(2018) 
Noncircularity of beams in the CMB polarization power spectrum estimation.
(2013)Precise measurements of the Cosmic Microwave Background (CMB) anisotropies have been one of the foremost concerns in modern cosmology as it provides valuable information on the cosmology of the Universe. However, an ... 
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 ...