Browsing Philosophiae Doctor - PhD (Mathematics) by Author "Dept. of Mathematics"
Now showing items 1-7 of 7
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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 ... -
Codes from uniform subset graphs and cycle products
Fish, Washiela (University of the Western Cape, 2007)In this thesis only Binary codes are studied. Firstly, the codes overs the field GF(2) by the adjacency matrix of the complement T(n), ofthe triangular graph, are examined. It is shown that the code obtained is the full ... -
Codes, graphs and designs related to iterated line graphs of complete graphs
Kumwenda, Khumbo (University of the Western Cape, 2011)In this thesis, we describe linear codes over prime fields obtained from incidence designs of iterated line graphs of complete graphs Li(Kn) where i = 1, 2. In the binary case, results are extended to codes from neighbourhood ... -
Elementary logic as a tool in proving mathematical statements
May, Bruce Matthew (University of the Western Cape, 2008)The findings of the study indicate that knowledge of logic does help to improve the ability of students to make logical connections (deductions) between and from statements.The results of the study, however, do not indicate ... -
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 ... -
Numerical singular perturbation approaches based on spline approximation methods for solving problems in computational finance
Khabir, Mohmed Hassan Mohmed (University of the Western Cape, 2011)Options are a special type of derivative securities because their values are derived from the value of some underlying security. Most options can be grouped into either of the two categories: European options which can be ...