Browsing Applied Mathematics by Title
Now showing items 1231 of 73

Bayesian analysis of cosmological models.
(2010)In this thesis, we utilise the framework of Bayesian statistics to discriminate between models of the cosmological mass function. We first review the cosmological model and the formation and distribution of galaxy clusters ... 
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 ... 
Categorical systems biology : an appreciation of categorical arguments in cellular modelling.
(20140423)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 ... 
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 ... 
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 ... 
Conformal motions in Bianchi I spacetime.
(1992)In this thesis we study the physical properties of the manifold in general relativity that admits a conformal motion. The results obtained are general as the metric tensor field is not specified. We obtain the Lie derivative ... 
Conformal symmetries : solutions in two classes of cosmological models.
(1991)In this thesis we study the conformal symmetries in two locally rotationally symmetric spacetimes and the homothetic symmetries of a Bianchi I spacetime. The conformal Killing equation in a class AIa spacetime (MacCallum ... 
Conformal symmetries and classification in shearfree spherically symmetric spacetimes.
(20150105)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 ... 
Credit derivative valuation and parameter estimation for CIR and Vasicektype models.
(20140918)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 ... 
Degree theory in nonlinear functional analysis.
(20131021)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 ... 
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 ... 
A discrete Fourier transform based on Simpson's rule.
(20150105)Fourier transforms are mathematical operations which play a vital role in the analysis of mathematical models for problems originating from a broad spectrum of elds. In this thesis, we formulate a discrete transform ... 
Distance measures in graphs and subgraphs.
(1996)In this thesis we investigate how the modification of a graph affects various distance measures. The questions considered arise in the study of how the efficiency of communications networks is affected by the loss of ... 
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 ... 
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 ... 
Educational managers' understanding and experiences of the implementation of inclusive education : evidence from selected urban primary schools in Zimbabwe.
This study focused on the school heads‟ understanding and experiences of the implementation of Inclusive Education in selected urban primary schools in Zimbabwe. The apparent absence of a tentative policy statement that ... 
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 ... 
Exact solutions for perfect fluids conformal to a Petrov type D spacetime.
(2011)Abstract is available from the print copy. 
Exact solutions for relativistic models.
(20131031)In this thesis we study spherically symmetric spacetimes related to the Einstein field equations. We consider only neutral matter and apply the Einstein field equations with isotropic pressures. Our object is to model ...