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We develop numerical solutions of a theoretical model which has been proposed to explain the formation of subglacial bedforms. The model has been shown to have the capability of producing bedforms inâ€¦ (More)

BY H. F. WINSTANLEY1, M. CHAPWANYA2, M. J. MCGUINNESS3 AND A. C. FOWLER4,* 1Mathematical Institute, University of Oxford, 24â€“29 Saint Gilesâ€™, Oxford OX1 3LB, UK 2Department of Mathematics and Appliedâ€¦ (More)

- Andrew C. Fowler, Michael Chapwanya
- Proceedings. Mathematical, physical, andâ€¦
- 2014

We present a theory for the coupled flow of ice, subglacial water and subglacial sediment, which is designed to represent the processes which occur at the bed of an ice sheet. The ice is assumed toâ€¦ (More)

- Michael Chapwanya, Jean M.-S. Lubuma, Ronald E. Mickens
- Computers & Mathematics with Applications
- 2012

We consider the basic SIR epidemiological model with the Michaelis-Menten formulation of the contact rate. From the study of Michaelis-Menten basic enzymatic reaction, we design two types ofâ€¦ (More)

- Michael Chapwanya, Jean M.-S. Lubuma, Ronald E. Mickens
- Computers & Mathematics with Applications
- 2014

We design nonstandard finite difference (NSFD) schemes which are unconditionally dynamically consistent with respect to the positivity property of solutions of cross-diffusion equations inâ€¦ (More)

- Mark Burke, Michael Chapwanya, +9 authors Jaime Rojas
- 2011

Wastewater treatment requires the elimination of pathogens and reduction of organic matter in the treated sludge to acceptable levels. One process used to achieve this is Autothermal Thermophylicâ€¦ (More)

- Jaime Rojas, Mark Burke, +9 authors Toshko Zhelev
- 2010

Wastewater treatment requires the elimination of pathogens and reduction of organic matter in the treated sludge to acceptable levels. One process used to achieve this is Autothermal Thermophylicâ€¦ (More)

- Henry F. Winstanley, Michael Chapwanya, Andrew C. Fowler, S. B. G. O'Brien
- Journal of mathematical biology
- 2015

We present a model of biofilm growth in a long channel where the biomass is assumed to have the rheology of a viscous polymer solution. We examine the competition between growth and erosion-likeâ€¦ (More)

- Michael Chapwanya, Wentao Liu, John M. Stockie
- ArXiv
- 2008

We develop a mathematical model that captures the transport of liquid water in hardened concrete, as well as the chemical reactions that occur between the infiltrating water and the residual calciumâ€¦ (More)

- A. A. Aderogba, Michael Chapwanya, J. Djoko Kamdem, Jean M.-S. Lubuma
- Int. J. Comput. Math.
- 2016