Applied Mathematics
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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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Scalar perturbations of Schwarzschild black holes in modified gravity.
(2017)This thesis is concerned with the physics related to scalar perturbations in the Schwarzschild geometry that arise in modifed gravity theories. It has already been shown that the gravitational waves emitted from a ... -
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 Eigen-complete difference ratio with its asymptotic domination and area aspects.
(2015)Abstract available in PDF file. -
Chebyshev spectral and pseudo-spectral 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 C-Band All Sky Survey commissioning and data analysis.
(2017)The C-Band All Sky Survey (C-BASS) is a ground based radio survey that scans the entire sky in Stokes I, Q and U at a central frequency of 5 GHz with a 1 GHz bandwidth and an angular resolution of 0.73 . The experiment ... -
Dynamics of radiating stars in the strong gravity regime.
(2017)We model the dynamics of a spherically symmetric radiating dynamical star, emitting outgoing null radiation, with three spacetime regions. The local internal atmosphere is a two-component system consisting of standard ... -
The eigen-chromatic 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 eigen-chromatic 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. ... -
Conformal symmetry and applications to spherically symmetric spacetimes.
(2018)In this thesis we study static spherically symmetric spacetimes with a spherical conformal symmetry and a nonstatic conformal factor. We analyse the general solution of the conformal Killing vector equation subject to ... -
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 ... -
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 ...
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