Browsing by Supervisor "Banasiak, Jacek"

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Beyond the tanh method-looking for explicit travelling wave solutions to partial differential equations

Maqele, Khanyisani (University of Pretoria, 2022)

In this work, we focus on a general procedure for finding exact travelling wave solutions for evolution equations with polynomial nonlinearites. Mathematically, looking for travelling wave solutions is asking the question ...
Fragmentation-coagulation equation with growth

Poka, Wetsi D (University of Pretoria, 2023)

The theory of fragmentation-coagulation equations began around 1916 with a series of papers by Smoluchowski on pure coagulation and since then continued to incorporate other processes into the model. The intention was to ...
On the numerical solution of Fisher's and FitzHugh-Nagumo equations using some nite di erence methods

Agbavon, Koffi Messan (University of Pretoria, 2020)

In this thesis, we make use of numerical schemes in order to solve Fisher’s and FitzHugh-Nagumo equations with speciﬁed initial conditions. The thesis is made up of six chapters. Chapter 1 gives some literatures on partial ...

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