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Fractional Black-Scholes equations and their robust numerical simulations
(University of 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 ...
Graphs of integral distance and their properties
(University of Western Cape, 2021)
Understanding the geometries of points in space has been attractive to mathematicians
for ages. As a model, twelve years ago, Kurz and Meyer [32] considered point
sets in the m-dimensional a ne space Fmq
over a nite ...
Measurements of edge uncolourability in cubic graphs
(University of the Western Cape, 2020)
The history of the pursuit of uncolourable cubic graphs dates back more than a century.
This pursuit has evolved from the slow discovery of individual uncolourable
cubic graphs such as the famous Petersen graph and the ...
Efficient Variable Mesh Techniques to solve Interior Layer Problems
(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 ...
Fractional black-scholes equations and their robust numerical simulations
(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 ...
Mathematical modeling of TB disease dynamics in a crowded population.
(University of the Western Cape, 2020)
Tuberculosis is a bacterial infection which is a major cause of death worldwide. TB is a
curable disease, however the bacterium can become resistant to the first line treatment
against the disease. This leads to a disease ...
High Accuracy Fitted Operator Methods for Solving Interior Layer Problems
(University of the Western Cape, 2020)
Fitted operator finite difference methods (FOFDMs) for singularly perturbed
problems have been explored for the last three decades. The construction of
these numerical schemes is based on introducing a fitting factor ...
Robust numerical methods to solve differential equations arising in cancer modeling
(University of the Western Cape, 2020)
Cancer is a complex disease that involves a sequence of gene-environment interactions
in a progressive process that cannot occur without dysfunction in multiple systems.
From a mathematical point of view, the sequence ...
Analysis and robust simulation of mathematical models of HIV and Leishmaniasis co-infection
(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 some ecological models describing weed-water hyacinth dynamics in Lake Tana, Ethiopia
(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 ...