ETD@Mafikeng CampusThis collection contains the original digitized versions of research conducted at the North-West University (Mafikeng Campus)http://hdl.handle.net/10394/18642017-03-30T10:36:33Z2017-03-30T10:36:33ZAn econometric analysis on the economic impacts of oil price fluctuations in South AfricaMaruping, Hlompo Panelopehttp://hdl.handle.net/10394/208462017-03-16T13:03:09Z2014-01-01T00:00:00ZAn econometric analysis on the economic impacts of oil price fluctuations in South Africa
Maruping, Hlompo Panelope
Oil price fluctuation is a cause of concern for most of the economies of the world
including South Africa. The premise is that since oil consumption is regarded as one of
the major determinants of the economic activities in any country, therefore the price
fluctuations have a potential of slowing down the economic growth in most countries.
The purpose of the study is to analyse the impact of oil prices on economic growth in
South Africa. With less attention to the emerging ones, this study attempts to take
advantage of this research gap in order to extend the existing literature in the South
African context. Determining such a relationship will not only be helpful to the academic
community, but also to the policy makers and the international community. The study
utilises secondary data to examine quarterly time series data from the year 1990Q 1-
201401. Several sources of data (websites) like SARB, Qantec, and International
Monetary Funds (IMF), among others, were considered to find the most relevant data
for this study. The model of this study was estimated by using a cointegrating vector
autoregressive (CVAR) frame work and it was passed through a series of diagnostic
and stability. Finally the Generalised Impulse Response Function (GIRF) was employed
to examine the dynamic relations among the variables under study. The results show
that there is a positive relationship between economic growth and oil prices fluctuations.
MCom (Economics), North-West University, Mafikeng Campus, 2014
2014-01-01T00:00:00ZConservation laws and exact solutions for some nonlinear partial differential equationsMothibi, Dimpho Millicenthttp://hdl.handle.net/10394/208022017-03-13T13:04:04Z2016-01-01T00:00:00ZConservation laws and exact solutions for some nonlinear partial differential equations
Mothibi, Dimpho Millicent
In this thesis we study some nonlinear partial differential equations which appear
in several physical phenomena of the real world. Exact solutions and conservation
laws are obtained for such equations using various methods. The equations
which are studied in this work are a generalized coupled (2+1)-dimensional hyperbolic
system, a modified Kortweg-de Vries type equation, the higher-order modi
fied Boussinesq equation with damping term, coupled Korteweg-de Vries equations,
coupled Boussinesq equations, a generalized Zakharov-Kuznetsov equation,
a generalized Ablowitz-Kaup-Newell-Segur equation and a potential Kadomtsev-
Petviashvili equation with p-power nonlinearity.
We perform a complete Lie symmetry classifcation of a generalized coupled (2+1)-
dimensional hyperbolic system, which models many physical phenomena in nonlinear
sciences. The Lie group classifcation of the system provides us with elevendimensional
equivalence Lie algebra and has several possible extensions. It is further
shown that several cases arise in classifying the arbitrary parameters, the
forms of which include amongst others the power and exponential functions.
We obtain exact solutions of two nonlinear evolution equations, namely, modified
Kortweg-de Vries equation and higher-order modified Boussinesq equation with
damping term. The (G0=G)-expansion method is employed to obtain the exact
solutions. Travelling wave solutions of three types are obtained and these are the
solitary waves, periodic and rational. In addition, the conservation laws for higherorder
modified Boussinesq equation with a damping term are constructed using the
multiplier approach.
The (G0=G)-expansion method is employed to derive the exact travelling wave
solutions of coupled Korteweg-de Vries equations. The solutions obtained include
the soliton solutions. Furthermore, the conservation laws for these equations are
obtained.
Travelling wave solutions of coupled Boussinesq equations are determined and conservation
laws are obtained for the system using the new conservation theorem and
multiplier approach.
We study a generalized Zakharov-Kuznetsov equation in three variables, which has
applications in the nonlinear development of ion-acoustic waves in a magnetized
plasma. Conservation laws for this equation are constructed using the new conservation
theorem. Furthermore, new exact solutions are obtained by employing the
Lie symmetry method along with the simplest equation method.
Conservation laws of a generalized Ablowitz-Kaup-Newell-Segur equation are constructed
by using Noether theorem. The exact solutions are obtained using the Lie
symmetry method together with the simplest equation method and direct integration.
Finally, a potential Kadomtsev-Petviashvili equation with p-power nonlinearity,
which arises in a number of significant nonlinear problems of physics and applied
mathematics is studied. We carry out Noether symmetry classifcation on this
equation. Four cases arise depending on the values of p and consequently we
construct conservation laws for these cases with respect to the second-order Lagrangian.
In addition, exact solutions for this equation are obtained using the Lie
group analysis together with the Kudryashov method and direct integration.
PhD (Applied Mathematics), North-West University, Mafikeng Campus, 2016
2016-01-01T00:00:00ZThe impact of electricity supply on the manufacturing sector output in South AfricaMpatane, Letlhogonolo Masegohttp://hdl.handle.net/10394/206962017-03-05T16:03:58Z2015-01-01T00:00:00ZThe impact of electricity supply on the manufacturing sector output in South Africa
Mpatane, Letlhogonolo Masego
Uninterrupted and sufficient electricity supply is one of the most important determinants that boost manufacturing output in any economy. The availability of electricity plays a vital role in both the production and consumption of goods and services as well as in a country’s growth prospects. It is against this background that the main objective of this dissertation is to determine the impact of electricity supply on manufacturing sector output in South Africa from 1985 to 2014.Cointegrated VAR methodology was implemented to test the impact of electricity supply on South Africa’s manufactured output.
The analysis showed evidence of two cointegrating vectors. A positive long run relationship was found between manufactured output and manufacturing employment and between manufactured output and electricity supply. The results imply that electricity supply and manufacturing employment play a role in bringing manufactured output to equilibrium. In this study the error term is -0.135, which implies that the cointegration relationship is stable. The speed of adjustment is 13.5 percent. This is a speed at which manufacturing output returns to equilibrium after a shock in independent variables like electricity supply. This indicates that 13.5 percent of the gap between manufactured output and its equilibrium value is eliminated in the short run.
The policy implication of a positive relationship between electricity supply and manufactured output is that an expansion of the electricity sector will result in an increase in manufactured output. Policy makers in South Africa should continue to formulate and implement policies that are aimed at promoting and expanding the electricity sector. This will not only boost the manufacturing sector but will also create more jobs in the country. The results that have emerged from this analysis corroborate the theoretical predictions and are also supported by previous studies.
MCom (Economics), North-West University, Mafikeng Campus, 2015
2015-01-01T00:00:00ZPerceptions of offenders and correctional officials on the rehabilitation programmes in maximum correctional centres – North West ProvinceManganye, Patricia Makhananehttp://hdl.handle.net/10394/206952017-03-05T16:03:47Z2016-01-01T00:00:00ZPerceptions of offenders and correctional officials on the rehabilitation programmes in maximum correctional centres – North West Province
Manganye, Patricia Makhanane
Rehabilitation in any correctional setting is a process and not an event aimed at bringing about behavioural and attitudinal change in the lives of those convicted for criminal behaviour. In the process of trying to bring about change, challenges are encountered, either structurally or attitudinally. This study examined the perceptions of offenders and correctional officials on rehabilitation programmes in maximum correctional centres, in the North-West province.
While rehabilitation is regarded by policy documents in the Department of Correctional Services as a right of offenders, the actual implementation is more difficult to realise. The identified problem pointed to a need for relevant literature in order to review on aspects such as: the meaning of rehabilitation, the process of rehabilitation in a prison setting, together with different rehabilitation programmes in correctional settings. Thereafter, different theoretical frameworks were reviewed in order to understand the phenomena at hand holistically. The learning theory helped to show that much as criminal behaviour is learned, this very behaviour in a more conducive environment can be unlearned. With the ecosystems practice perspective the influence of environmental systems on the offenders and how they in turn influence these were looked into. Ground work was laid with the strength-based perspective which showed the importance of tapping upon the inherent strengths of offenders over and above their deficits.
Qualitative research was used as a research paradigm. Using in-depth interviews, focus group discussions and key-informant interviews, a total of 25 participants were purposefully selected. Data analysed was descriptive and the following are some of the findings: The results revealed that: rehabilitation is a process of change which aims at correcting and not punishing; Both sampled correctional officials and offenders perceived rehabilitation as valuable, having experienced and or witnessed change in themselves or others; Barriers to rehabilitation process are varied, with overcrowding and its accompaniments as key; Existing rehabilitation programmes are implementable though sometimes not fully implemented based on the identified constraints; and lastly one of the strategies recommended by offenders is the broadening of stakeholder involvement in the rehabilitation process.
MSW North-West University, Mafikeng Campus, 2016
2016-01-01T00:00:00Z