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Browsing Research Articles (Mathematics and Applied Mathematics) by Author "Aderogba, Adebayo Abiodun"
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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; 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 ...