Browsing Faculty of Natural Science by Author "Patidar, Kailash C."
Now showing items 1-20 of 34
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Analysis and implementation of a positivity preserving numerical method for an HIV model
Wyngaardt, Jo-Anne (2007)This thesis deals with analysis and implementation of a positivity preserving numerical method for a vaccination model for the transmission dynamics of two HIVsubtypesnin a given community. The continuous model is analyzed ... -
Analysis and Implementation of a Positivity Preserving Numerical Method for an HIV model
Wyngaardt, Jo-Anne (University of the Western Cape, 2007)This thesis deals with analysis and implementation of a positivity preserving numerical method for a vaccination model for the transmission dynamics of two HIV subtypes in a given community. The continuous model is analyzed ... -
Analysis and implementation of robust numerical methods to solve mathematical models of HIV and Malaria co-infection
Elsheikh, Sara Mohamed Ahmed Suleiman (University of the Western Cape, 2011)There is a growing interest in the dynamics of the co-infection of these two diseases. In this thesis, firstly we focus on studying the effect of a distributed delay representing the incubation period for the malaria ... -
Analysis and robust simulation of mathematical models of HIV and Leishmaniasis co-infection
Adamu, Elias M. (University of the Western Cape, 2022)The purpose of this thesis is the theoretical and numerical study of epidemiological models of Visceral Leishmaniasis (VL) and human immunode ciency virus (HIV) coinfection. We study these models theoretically and design ... -
Analysis and simulation of nonlinear option pricing problems
Tawe, Tarla Divine (University of Western Cape, 2021)We present the Black-Scholes Merton partial differential equation (BSMPDE) and its analytical solution. We present the Black-Scholes option pricing model and list some limitations of this model. We also present a nonlinear ... -
Analysis and simulation of some ecological models describing weed-water hyacinth dynamics in Lake Tana, Ethiopia
Belay, Yeshambel Azene (University of the Western Cape, 2022)The water hyacinth plant is notorious for being the world’s worst aquatic weed. In Ethiopia, it invades lake Tana which is the largest lake in Ethiopia. This is attracting attention of many researchers including mathematical ... -
Automatic signature verification system
Malladi, Raghuram (2013)In this thesis, we explore dynamic signature verification systems. Unlike other signature models, we use genuine signatures in this project as they are more appropriate in real world applications. Signature verification ... -
Construction and analysis of efficient numerical methods to solve mathematical models of TB and HIV co-infection
Ahmed, Hasim Abdalla Obaid (University of the Western Cape, 2011)The global impact of the converging dual epidemics of tuberculosis (TB) and human immunodeficiency virus (HIV) is one of the major public health challenges of our time, because in many countries, human immunodeficiency ... -
Construction and analysis of exponential time differencing methods for the robust simulation of ecological models
Farah, Gassan Ali Mohamed Osman (University of Western Cape, 2021)In this thesis, we consider some interesting mathematical models arising in ecology. Our focus is on the exploration of robust numerical solvers which are applicable to models arising in mathematical ecology. To begin ... -
Design, analysis and simulation of a robust numerical method to solve Zika virus models
Fundzama, Bafana Mthobisi (University of the Western Cape, 2019)This thesis deals with the analysis and robust simulation of mathematical models describing Zika virus disease. Some background information about the occurrences of this disease and most recent literature indicating some ... -
Efficient Monte Carlo methods for pricing of electricity derivatives
Nobaza, Linda (University of the Western Cape, 2012)We discuss efficient Monte Carlo methods for pricing of electricity derivatives. Electricity derivatives are risk management tools used in deregulated electricity markets. In the past,research in electricity derivatives ... -
Efficient numerical methods based on integral transforms to solve option pricing problems
Ngounda, Edgard (University of the Western Cape, 2012)In this thesis, we design and implement a class of numerical methods (based on integral transforms) to solve PDEs for pricing a variety of financial derivatives. Our approach is based on spectral discretization of the ... -
Efficient numerical methods to solve some reaction-diffusion problems arising in biology
Matthew, Owolabi Kolade (2013)In this thesis, we solve some time-dependent partial differential equations, and systems of such equations, that governs reaction-diffusion models in biology. we design and implement some novel exponential time differencing ... -
Efficient Variable Mesh Techniques to solve Interior Layer Problems
Mbayi, Charles K. (University of Western Cape, 2020)Singularly perturbed problems have been studied extensively over the past few years from different perspectives. The recent research has focussed on the problems whose solutions possess interior layers. These interior ... -
Fitted numerical methods to solve di erential models describing unsteady magneto-hydrodynamic ow
Buzuzi, George (2013)In this thesis, we consider some nonlinear di erential models that govern unsteady magneto-hydrodynamic convective ow and mass transfer of viscous, incompressible, electrically conducting uid past a porous plate ... -
Fractional black-scholes equations and their robust numerical simulations
Nuugulu, Samuel Megameno (University of the Western Cape, 2020)Conventional partial differential equations under the classical Black-Scholes approach have been extensively explored over the past few decades in solving option pricing problems. However, the underlying Efficient Market ... -
Higher order numerical methods for singular perturbation problems
Munyakazi, Justin Bazimaziki (University of the Western Cape, 2009)In recent years, there has been a great interest towards the higher order numerical methods for singularly perturbed problems. As compared to their lower order counterparts, they provide better accuracy with fewer mesh ... -
Mesh Free Methods for Differential Models In Financial Mathematics
Sidahmed, Abdelmgid Osman Mohammed (University of the Western Cape, 2011)Many problems in financial world are being modeled by means of differential equation. These problems are time dependent, highly nonlinear, stochastic and heavily depend on the previous history of time. A variety of financial ... -
Mesh free methods for differential models in financial mathematics
Sidahmed, Abdelmgid Osman Mohammed (University of the Western Cape, 2011)Many problems in financial world are being modeled by means of differential equation. These problems are time dependent, highly nonlinear, stochastic and heavily depend on the previous history of time. A variety of financial ... -
Methods of optimizing investment portfolios
Seepi, Thoriso P.J. (2013)In this thesis, we discuss methods for optimising the expected rate of return of a portfolio with minimal risk. As part of the work we look at the Modern Portfolio Theory which tries to maximise the portfolio's expected ...