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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 ...
Robust computational methods to simulate slow-fast dynamical systems governed by predator-prey models
(University of the Western Cape, 2019)
Numerical approximations of multiscale problems of important applications in ecology
are investigated. One of the class of models considered in this work are singularly perturbed
(slow-fast) predator-prey systems which ...
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 ...