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 ...
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 ...
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
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 ...