Browsing Theses and Dissertations (Mathematics and Applied Mathematics) by Supervisor "Djoko, J.K. (Jules Kamdem)"

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Finite element approximations for fluid flows governed by nonlinear slip boundary conditions of friction type: from theory to computations

Mohamed, Mbehou (University of Pretoria, 2014)

This thesis is divided in three main chapters devoted to the study of finite element approximations of fluid flows with special nonlinearities coming from boundary con- ditions. In Chapter 1, we consider the finite ...
Finite volume approximations for some equations arising in mathematical physics

Aderogba, Adebayo Abiodun (University of Pretoria, 2014)

In this thesis we design and implement finite volume schemes to approximate the solution of 1-dimensional (partial) differential equations. Most of these partial differential equations (PDEs) are made up of not only ...
Numerical solution of advection-diffusion and convective Cahn-Hilliard equations

Gidey, Hagos Hailu (University of Pretoria, 2016)

In this PhD thesis, we construct numerical methods to solve problems described by advectiondiffusion and convective Cahn-Hilliard equations. The advection-diffusion equation models a variety of physical phenomena in fluid ...

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