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Browsing Mathematics and Applied Mathematics by Author "Aderogba, Adebayo Abiodun"
Now showing items 1-6 of 6
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Aderogba, Adebayo Abiodun; Chapwanya, Michael; Djoko, J.K. (Jules Kamdem); Lubuma, Jean M.-S. (Taylor and Francis, 2016)The Schrödinger equation is a model for many physical processes in quantum physics. It is a singularly perturbed differential equation where the presence of the small reduced Planck’s constant makes the classical numerical ...
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Aderogba, Adebayo Abiodun; Chapwanya, Michael (Taylor and Francis, 2015-07)We design explicit nonstandard finite difference schemes for the nonlinear Allen-Cahn reaction diffusion equation in the limit of very small interaction length ". In the proposed scheme, the perturbation parameter is ...
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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 ...
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Aderogba, Adebayo Abiodun; Chapwanya, Michael; Djoko, J.K. (Jules Kamdem) (Emerald, 2014)PURPOSE – For a partial differential equation with a fourth-order derivative such as the Cahn-Hilliard equation, it is always a challenge to design numerical schemes that can handle the restrictive time step introduced ...
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Aderogba, Adebayo Abiodun; Chapwanya, Michael (Springer, 2018-07)In this work we consider the Hodgkin Huxley model in the form of a coupled system of one singularly perturbed partial differential equation and three ordinary differential equations. The existence of a small parameter, the ...
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Aderogba, Adebayo Abiodun; Chapwanya, Michael; Djoko, J.K. (Jules Kamdem) (American Institute of Physics (AIP), 2012-01)This work considers the numerical solution of the Kuramoto-Sivashinsky equation using the fractional time splitting method. We will investigate the numerical behavior of two categories of the traveling wave solutions ...
Now showing items 1-6 of 6