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Meta-Cayley Graphs on Dihedral Groups
(University of the Western Cape, 2017)
The pursuit of graphs which are vertex-transitive and non-Cayley on groups has been ongoing for some time. There has long been evidence to suggest that such graphs are a very rarety in occurrence. Much success has been had ...
A mathematical model for studying the impact of climate variability on malaria epidemics in South Africa
(University of the Western Cape, 2017)
Malaria is most prevalent in tropical climates, where there are sufficient rainfall
for mosquitoes to breed and conducive temperatures for both the mosquito and
protozoa to live. A slight change in temperature can ...
On the method of lines for singularly perturbed partial differential equations
(University of the Western Cape, 2017)
Many chemical and physical problems are mathematically described by partial
differential equations (PDEs). These PDEs are often highly nonlinear and
therefore have no closed form solutions. Thus, it is necessary to ...
On the numerical integration of singularly perturbed Volterra integro-differential equations
(University of the Western Cape, 2017)
Efficient numerical approaches for parameter dependent problems have been an inter-
esting subject to numerical analysts and engineers over the past decades. This is due
to the prominent role that these problems play in ...