Browsing Doctoral Degrees (Applied Mathematics) by Title
Now showing items 120 of 31

2generations pf the sporadic simple groups.
(1997)A group G is said to be 2generated if G = (x, y), for some nontrivial elements x, y E G. In this thesis we investigate three special types of 2generations of the sporadic simple groups. A group G is a (l, rn, n )generated ... 
Age structured models of mathematical epidemiology.
(20141121)We consider a mathematical model which describes the dynamics for the spread of a directly transmitted disease in an isolated population with age structure, in an invariant habitat, where all ... 
Analysis of shearfree spherically symmetric charged relativistic fluids.
(2011)We study the evolution of shearfree spherically symmetric charged fluids in general relativity. This requires the analysis of the coupled EinsteinMaxwell system of equations. Within this framework, the master field ... 
Applications of embedding theory in higher dimensional general relativity.
(20140422)The study of embeddings is applicable and signicant to higher dimensional theories of our universe, highenergy physics and classical general relativity. In this thesis we investigate local and global isometric ... 
Applications of Lie symmetries to gravitating fluids.
(2011)This thesis is concerned with the application of Lie's group theoretic method to the Einstein field equations in order to find new exact solutions. We analyse the nonlinear partial differential equation which arises ... 
Applications of symmetry analysis of partial differential and stochastic differential equations arising from mathematics of finance.
(2011)In the standard modeling of the pricing of options and derivatives as generally understood these days the underlying process is taken to be a Wiener Process or a Levy Process. The stochastic process is modeled as a stochastic ... 
Aspects of graph vulnerability.
(1994)This dissertation details the results of an investigation into, primarily, three aspects of graph vulnerability namely, lconnectivity, Steiner Distance hereditatiness and functional isolation. Following the introduction ... 
Asymptotic analysis of singularly perturbed dynamical systems.
(2011)According to the needs, real systems can be modeled at various level of resolution. It can be detailed interactions at the individual level (or at microscopic level) or a sample of the system (or at mesoscopic level) and ... 
Bounds on distancebased topological indices in graphs.
(2012)This thesis details the results of investigations into bounds on some distancebased topological indices. The thesis consists of six chapters. In the first chapter we define the standard graph theory concepts, and ... 
Computational study of high order numerical schemes for fluidstructure interaction in gas dynamics.
(20131217)Solving the fluidstructure interaction (FSI) problems is particularly challenging. This is because the coupling of the fluid and structure may require different solvers in different points of the solution domain, and with ... 
Developing an integrated decision support system for an oil refinery.
(1998)This thesis considers the problem of residue upgrading operations in an oil refinery. Visbreaking is a residueupgrading process that improves profitability of a refinery. The economics of converting the heavy residue ... 
Differential equations for relativistic radiating stars.
(2013)We consider radiating spherical stars in general relativity when they are conformally flat, geodesic with shear, and accelerating, expanding and shearing. We study the junction conditions relating the pressure to the ... 
Doublediffusive convection flow in porous media with crossdiffusion.
(2011)In this thesis we study doublediffusive convection and crossdiffusion effects in flow through porous media. Fluid flows in various flow geometries are investigated and the governing equations are solved analytically ... 
Exact models of compact stars with equations of state.
(20150105)We study exact solutions to the EinsteinMaxwell system of equations and relate them to compact objects. It is well known that there are substantial analytic difficulties in the modelling of selfgravitating, static fluid ... 
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 ... 
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.
(20150107)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 ... 
A modelling approach for determining the freshwater requirements of estuarine macrophytes.
(1998)Increased abstraction of water in the catchment results in a reduced or altered pattern of river flow and this holds serious consequences for the downstream estuarine ecosystem. In South Africa this is a serious concern ...