Browsing Masters Degrees (Applied Mathematics) by Issue Date
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Analysis and numerical solutions of fragmentation equation with transport.
(2012)Fragmentation equations occur naturally in many real world problems, see [ZM85, ZM86, HEL91, CEH91, HGEL96, SLLM00, Ban02, BL03, Ban04, BA06] and references therein. Mathematical study of these equations is mostly ... 
Degree theory in nonlinear functional analysis.
(1989)The objective of this dissertation is to expand on the proofs and concepts of Degree Theory, dealt with in chapters 1 and 2 of Deimling [28], to make it more readable and accessible to anyone who is interested in the ... 
Impact of exogenous reinfection on TB infection in a genetically susceptible population.
(2013)In this study we investigated the impact of exogenous reinfection on genetically resistant and genetically sensitive sub populations. We qualitatively analysed the dynamics of TB by assuming that TB is transmitted in two ... 
Modelling the response of cytotoxic tlymphocytes in controlling solid tumour invasion.
(2013)We present mathematical models to study the mechanism of interaction of tumour infiltrating cytotoxic lymphocytes (TICLs) with tumour cells. We focus on the phase spaces of the systems and the nature of the solutions for ... 
Southern African Large Telescope observations of SunyaevZel'dovich effect selected clusters from the Atacama Cosmology Telescope.
(2014)We present Southern African Large Telescope (SALT) followup observations of seven massive clusters detected by the Atacama Cosmology Telescope (ACT) using the SunyaevZel’dovich effect (SZE). We conducted multiobject ... 
Conformal symmetries and classification in shearfree spherically symmetric spacetimes.
(2014)In this thesis we study the conformal geometry of static and nonstatic spherically symmetric spacetimes. We analyse the general solution of the conformal Killing vector equation subject to integrability conditions which ... 
Doublediffusive convection flow in a porous medium saturated with a nanofluid.
(2014)In this work, we studied heat and mass transfer in a nanofluid flow over a stretching sheet. Fluid flow in different flow geometries was studied and a coordinate transformation was used to transform the governing equations ... 
On the physical viability of horizonfree collapse.
(2014)The socalled Cosmic Censorship Conjecture has drawn widespread attention amongst astrophysicists and particle physicists. In particular, the endstate of gravitational collapse of a bounded matter distribution is a ... 
Shearfree models for relativistic fluids with heat flow and pressure isotropy.
(2014)We model the interior dynamics of a relativistic radiating fuid in a nonstatic spher ically symmetric spacetime. The matter distribution takes the form of an imperfect fuid with a nonvanishing radially directed heat ... 
New classes of exact solutions for charged perfect fluids.
(2012)We investigate techniques to generate new classes of exact solutions to the Einstein Maxwell field equations which represent the gravitational field of charged perfect fluid spherically symmetric distributions of ... 
Categorical systems biology : an appreciation of categorical arguments in cellular modelling.
(2012)With big science projects like the human genome project, [2], and preliminary attempts to seriously study brain activity, e.g. [9], mathematical biology has come of age, employing formalisms and tools from most branches ... 
Matrix models of population theory.
(2013)Nonnegative matrices arise naturally in population models. In this thesis, we first study Perron Frobenius theory of nonnegative irreducible matrices. We use this theory to investigate the asymptotic behaviour ... 
Credit derivative valuation and parameter estimation for CIR and Vasicektype models.
(2013)A credit default swap is a contract that ensures protection against losses occurring due to a default event of an certain entity. It is crucial to know how default should be modelled for valuation or estimating of ... 
Energy of graphs : the Eigencomplete difference ratio with its asymptotic domination and area aspects.
(2015)Abstract available in PDF file. 
Commissioning and characterisation of the CBand AllSky Survey Southern telescope.
(2015)Abstract available in PDF file. 
Chebyshev spectral and pseudospectral methods in unbounded domains.
(2015)Chebyshev type spectral methods are widely used in numerical simulations of PDEs posed in unbounded domains. Such methods have a number of important computational advantages. In particular, they admit very efficient practical ... 
A discrete Hartley transform based on Simpson's rule.
(2015)The Discrete Hartley Transform and Discrete Fourier Transform are classical transfor mations designed for e cient computations in the frequency domain. We introduce a relatively new transformation based on the existing ... 
A comparison study of Chebyshev spectral collocation based methods for solving nonlinear second order evolution equations.
(2015)In this study Spectral Quasilinearisation Method (SQLM) coupled with finite differ ence and Bivariate Spectral Quasilinearisation Method (BSQLM) in solving second order nonlinear evolution partial differential equations ... 
New classes of exact solutions in relativistic astrophysics.
(2015)The description of highly compact objects in a general relativistic setting is a problem of present research. The relativistic e ects arising from the presence of the electric eld and anisotropy are included in our ... 
Matrices of graphs and designs with emphasis on their integral eigenpair balance characteristic.
(2014)The interplay between graphs and designs is well researched. In this dissertation we connect designs and graphs entirely through their associated matrices – the incidence matrix for designs and the adjacency matrix for ...