Now showing items 31-40 of 50
Open-loop nash and stackelberg equilibrium for non-cooperative differential games with pure state constraints.
This dissertation deals with the study of non-cooperative di erential games with pure state constraints. We propose a rst order optimality result for the open-loop Nash and Stackelberg equilibriums solutions of an ...
An APOS exploration of conceptual understanding of the chain rule in calculus by first year engineering students.
The main issue in this study is how students conceptualise mathematical learning in the context of calculus with specific reference to the chain rule. The study focuses on how students use the chain rule in finding derivatives ...
Examining primary school teachers’ understanding of teaching geometry through the problem solving approach in Swaziland.
In this study, I examined primary teachers’ understanding of teaching geometry through the problem solving approach, using Ball, Thames and Phelps’s (2008) mathematical knowledge for teaching (MKT) framework as a lens, ...
An investigation of the use of multiple representations in teaching fractions at primary school level in Swaziland.
This study aimed at identifying the kinds of representations primary school teachers commonly use in teaching fractions, how they use them and their reasons for using them. The study drew on the teaching model by Ball, ...
Chebyshev spectral pertutrbation based method for solving nonlinear fluid flow problems.
In this dissertation, a modi cation of the classical perturbation techniques for solving nonlinear ordinary di erential equation (ODEs) and nonlinear partial di erential equations (PDEs) is presented. The method, called ...
On decoupled quasi-linearization methods for solving systems of nonlinear boundary value problems.
In this dissertation, a comparative study is carried out on three spectral based numerical methods which are the spectral quasilinearization method (SQLM), the spectral relaxation method (SRM) and the spectral local ...
Iterative methods for approximating solutions of certain optimization problems and fixed points problems.
Abstract available in PDF file.
Modeling the burden of disease for cattle.
Summary measures of human population health (SMPH) represents approaches to measuring the burden of disease. These approaches are divided into two classes: health expectancies and health gaps. A health gap model approach ...
The interplay of dynamical systems analysis and group theory.
We investigate the relationship between the Dynamical Systems analysis and the Lie Symmetry analysis of ordinary differential equations. We undertake this investigation by looking at a relativistic model of self-gravitating ...
An overview of hidden symmetries.
Approaches to nding solutions to di erential equations are usually ad hoc. One of the more successful methods is that of group theory, due to Sophus Lie. In the case of ordinary di erential equations, the subsequent ...