Masters Degrees (Applied Mathematics)
Recent Submissions

Giant Radio Halos and Relics in ACTPol Clusters.
(2017)Galaxy clusters are the largest gravitationallybound 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 ... 
The characteristic approach in determining first integrals of a predatorprey system.
(2016)PredatorPrey 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 CBand AllSky 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 ... 
New class of LRS spacetimes with simultaneous rotation and spatial twist.
(2016)In this thesis we study Locally Rotationally Symmetric (LRS) spacetimes in which there exists a unique preferred spatial direction at each point. The conventional 1+3 decomposition of spacetime is extended to a 1+1+2 ... 
Energy of graphs : the Eigencomplete difference ratio with its asymptotic domination and area aspects.
(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 ... 
Searching for exoplanets using the transit method.
(2017)We present a study designed to detect transiting exoplanets in Kepler light curve data. We developed an exoplanet detection algorithm based on modelling transit light curves and fitting the models to light curve data ... 
Bounds on distances for spanning trees of graphs.
(2018)In graph theory, there are several techniques known in literature for constructing spanning trees. Some of these techniques yield spanning trees with many leaves. We will use these constructed spanning trees to bound ... 
The eigenchromatic ratio of classes of graphs : molecular stability, asymptotes and area.
(2017)This dissertation involves combining the two concepts of energy and the chromatic number of classes of graphs into a new ratio, the eigenchromatic ratio of a graph G. Associated with this ratio is the importance of its ... 
Charge distribution in neutron stars.
(2017)In previous studies, people have shown that compact stars, like the neutron stars and quark stars, can hold a lot of charge during their formation resulting in a large mass and radius. It was also argued that when the ... 
Eigenvalue bounds for matrices.
(2018)Eigenvalues are characteristic of linear operators. Once the spectrum of a matrix is known then its Jordan Canonical form can be determined which simplifies the un derstanding of the matrix. ... 
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 ... 
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 ... 
New solutions for nonlinear perfect fluids.
(2016)We investigate the Einstein system that governs the evolution of uncharged shearfree spherically symmetric fluids. First we present the Einstein equations for the static spherically symmetric gravitational fields in ... 
A covariant approach to LRSII spacetime matching.
(2017)In this thesis we examine the spacetime matching conditions covariantly for Locally Rotationally Symmetric class II (LRSII) spacetimes, of which spherical symmetry is a special case. We use the semitetrad 1+1+2 covariant ... 
Relativistic thermodynamics of radiating stars.
(2016)In this research, on the topic of relativistic thermodynamics of radiating stars, the following three case studies are investigated: Gravitational collapse in spacially isotropic coordinates { The nature of a ... 
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 ... 
Using spectral methods on HIV infection with TAT and SSU72 activation.
(2016)HIV dynamics within the host are complex especially when a reservoir of latently infected CD4+ T cells are present. The failure of the immune system and antiviral therapy to suppress the virus has been suggested to be ... 
Nonclassical solutions of hyperbolic conservation laws.
This dissertation studies the nonclassical shock waves which appears as limits of certain type diffusivedispersive regularisation to hyperbolic of conservation laws. Such shocks occur very often when the ux function ...