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Department of Mathematics and Applied Mathematics
    Dr M (Michael) Chapwanya
     
      



Tel: +2712 420-2837
Fax: +2712 420-3893
E-mail: michael.chapwanya@up.ac.za
Office: Mathematics Building 2-32

Position: Senior Lecturer
Academic qualifications: MSc, PhD (Univ of Limerick, Ireland)
NRF rating: Y2

Research Interest: Mathematical modeling, industrial mathematics and scientific computing

Link to personal page


                                                                             


Publications over the past five years:

Journal Articles

Rojas J, Burke M, Chapwanya M, Hewitt I, Korobeinikov A, Meere M, McCarty S, O’Brien M, VoThi Ngoc Tuo, Winstaanley H  Modeling of autothermal thermophylic aerobic digestion. Mathematics in Industry Case Studies Journal, 2(2010), 34-63

Chapwanya M, O’Brien SBG, Williams JF  A perturbation solution for bioremediation in a porous medium with bio-clogging.  Journal of Computational and Applied Mathematics, 234(2010), 2709-2723

Chapwanya M, Stockie JM Numerical simulations of gravity-driven fingering in unsaturated porous media using a nonequilibrium model.  Water Resources Research, 46(2010), W09534

Chapwanya M, Clark CD, Fowler AC  Numerical computations of a theoretical model of a ribbed moraine formation.  Earth Surface Processes and Landforms, 36(2011), 1105-1112

Winstanley HF, Chapwanya M, McGuinness MJ, Fowler AC  A polymer-solvent model of biofilm growth. Proceedings of the Royal Society A, 467(2011), 1449-1467

Chapwanya M, Lubuma JM-S, Mickens RE  From enzyme kinetics to epidemiological models with Michaelis-Menton contact rate: Design of nonstandard finite difference schemes.  Computers & Mathematics with Applications, 64(2012), 201-213

Chapwanya M, Lubuma JM-S, Mickens RE  Nonstandard finite difference schemes for Michaelis-Menten type reaction-diffusion equations.  Numerical Methods for Partial Differential Equations, 29(1)(2013), 337-360

Aderogba AA, Chapwanya, M, Djoko Kamdem J  On a fractional step-splitting scheme for the Cahn-Hilliard equation.  To appear in Engineering Computations

Chapwanya M, Lubuma JM-S, Mickens RE  Positivity-preserving nonstandard finite difference schemes for cross-diffusion equations in biosciences.  To appear in Computers and Mathematics with Applications

Chapwanya M, Misra NN  A soft condensed matter approach towards mathematical modelling of mass transport and swelling in food grains.  To appear in Journal of Food Engineering

Fowler AC, Chapwanya M  The instability theory for the formation of ribbed moraine, drumlins and mega-scale glacial lineations.  To appear in Proceedings of the Royal A - Mathematical Physical and Engineering Sciences

Conference Proceedings

Chapwanya M, Cregan V, Fowler A, William L, Meere M, Tuoi Vo thi Ngoc, Rivas JM, O'Brien SBG, Sadakov R, Winstanley H  Spin-coated substrates for cell growth.  In S O’Brien, M O’Sullivan, P Hanrahan, W Lee, J Mason, J Charpin and A Korobeinikov (eds), Proceedings of the 75th European Study Group with Industry (ESG175), (Limerick, Ireland), University of Limerick, 2010, pp 55-79, (electronic proceedings: http://www.macsi.ul.ie/esgi75/)

Chapwanya M, Gordon A, McDowell P  Predicting bus arrival times.  In S O’Brien, M O’Sullivan, P Hanrahan, W Lee, J Mason, J Charpin and A Korobeinikov (eds), Proceedings of the 82nd European Study Group with Industry (ESG182), (Limerick, Ireland), University of Limerick, 2011, pp 87-107, (electronic proceedings: http://www.macsi.ul.ie/esgi82/)
 
Aderogba AA, Chapwanya M, Djoko J  Travelling wave solution of the Kuramoto-Sivashinsky equation: A computational study.  In TE Simos, G Psihoyios, Ch Tsitouras and Z Anastassi (eds), Proceedings of the International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 1012, (Kos, Greece), American Institute of Physics – AIP Conference Proceedings 2012, 1479, 777-780, ISBN: 978-0-7354-1091-6

Chapwanya M, Lubuma JM-S  An Operator splitting method for the advection diffusion reaction equation for problems in porous flow.  In TE Simos, G Psihoyios and Ch Tsitouras (editors), Proceedings of the International Conference of Numerical Analysis and Applied Mathematics 2013 (ICNAAM 1013), (Rhodes, Greece), American Institute of Physics – AIP Conference Proceedings 1558, 2013, pp 253-256, ISBN: 978-0-7354-1184-5