## Search

Now showing items 1-10 of 45

#### Forecasting the monthly electricity consumption of municipalities in KwaZulu-Natal.

(1997)

Eskom is the major electricity supplier in South Africa and medium term forecasting within the company is a critical activity to ensure that enough electricity is generated to support the country's growth, that the networks ...

#### A support environment for the teaching of programming.

(1996)

This thesis examines the effectiveness of a specially constructed computer based support
environment for the teaching of computer programming to novice programmers. In order
to achieve this, the following distinct ...

#### On case representation and indexing in a case-based reasoning system for waste management.

(1997)

Case-Based Reasoning is a fairly new Artificial Intelligence technique which makes use of past
experience as the basis for solving new problems. Typically, a case-based reasoning system stores
actual past problems and ...

#### Spherically symmetric charged Einstein-Maxwell solutions.

(1999)

In this thesis we study spherically symmetric spacetimes with a perfect fluid source
which incorporates charge. We seek explicit solutions to the Einstein- Maxwell system
of equations. For nonaccelerating spherically ...

#### Noether's theorem and first integrals of ordinary differential equations.

(1997)

The Lie theory of extended groups is a practical tool in the analysis of differential equations, particularly in the construction of solutions. A formalism of the Lie theory is given and contrasted with Noether's theorem ...

#### Algebraic properties of ordinary differential equations.

(1995)

In Chapter One the theoretical basis for infinitesimal transformations is
presented with particular emphasis on the central theme of this thesis which
is the invariance of ordinary differential equations, and their first ...

#### Coherent structures and symmetry properties in nonlinear models used in theoretical physics.

(1994)

This thesis is devoted to two aspects of nonlinear PDEs which are fundamental
for the understanding of the order and coherence observed in the underlying physical
systems. These are symmetry properties and soliton ...

#### Ermakov systems : a group theoretic approach.

(1993)

The physical world is, for the most part, modelled using second order ordinary differential equations. The time-dependent simple harmonic oscillator and the Ermakov-Pinney equation (which together form an Ermakov system) ...

#### 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 ...