Browsing Department of Mathematics by Author "Munyakazi, Justin B."
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Efficient Variable Mesh Techniques to solve Interior Layer Problems
Mbayi, Charles K. (University of Western Cape, 2020)Singularly perturbed problems have been studied extensively over the past few years from different perspectives. The recent research has focussed on the problems whose solutions possess interior layers. These interior ... -
High Accuracy Fitted Operator Methods for Solving Interior Layer Problems
Sayi, Mbani T (University of the Western Cape, 2020)Fitted operator finite difference methods (FOFDMs) for singularly perturbed problems have been explored for the last three decades. The construction of these numerical schemes is based on introducing a fitting factor ... -
Mathematical modeling of the transmission dynamics of malaria in South Sudan
Mukhtar, Abdulaziz Yagoub Abdelrahman (University of the Western Cape, 2019)Malaria is a common infection in tropical areas, transmitted between humans through female anopheles mosquito bites as it seeks blood meal to carry out egg production. The infection forms a direct threat to the lives of ... -
On the design and implementation of a hybrid numerical method for singularly perturbed two-point boundary value problems
Nyamayaro, Takura T. A. (University of the Western Cape, 2014)With the development of technology seen in the last few decades, numerous solvers have been developed to provide adequate solutions to the problems that model different aspects of science and engineering. Quite often, these ... -
Robust computational methods for two-parameter singular perturbation problems
Elago, David (University of the Western Cape, 2010)This thesis is concerned with singularly perturbed two-parameter problems. We study a tted nite difference method as applied on two different meshes namely a piecewise mesh (of Shishkin type) and a graded mesh (of Bakhvalov ...