A polymer–solvent model of biofilm growth HF Winstanley, M Chapwanya, MJ McGuinness, AC Fowler Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2011 | 49 | 2011 |

An instability theory for the formation of ribbed moraine, drumlins and mega-scale glacial lineations AC Fowler, M Chapwanya Proceedings of the Royal Society of London A: Mathematical, Physical and …, 2014 | 45 | 2014 |

Positivity-preserving nonstandard finite difference schemes for cross-diffusion equations in biosciences M Chapwanya, JMS Lubuma, RE Mickens Computers & Mathematics with Applications 68 (9), 1071-1082, 2014 | 44 | 2014 |

Nonstandard finite difference schemes for Michaelis–Menten type reaction‐diffusion equations M Chapwanya, JMS Lubuma, RE Mickens Numerical Methods for Partial Differential Equations 29 (1), 337-360, 2013 | 41 | 2013 |

Numerical computations of a theoretical model of ribbed moraine formation M Chapwanya, CD Clark, AC Fowler Earth Surface Processes and Landforms 36 (8), 1105-1112, 2011 | 40 | 2011 |

Numerical simulations of gravity‐driven fingering in unsaturated porous media using a nonequilibrium model M Chapwanya, JM Stockie Water Resources Research 46 (9), 2010 | 32 | 2010 |

A MATHEMATICAL MODEL FOR EBOLA EPIDEMIC WITH SELF-PROTECTION MEASURES T Berge, M Chapwanya, JMS Lubuma, YA Terefe Journal of Biological Systems 26 (01), 107-131, 2018 | 24 | 2018 |

From enzyme kinetics to epidemiological models with Michaelis–Menten contact rate: Design of nonstandard finite difference schemes M Chapwanya, JMS Lubuma, RE Mickens Computers & Mathematics with Applications 64 (3), 201-213, 2012 | 21 | 2012 |

Nonstandard finite difference method revisited and application to the Ebola virus disease transmission dynamics R Anguelov, T Berge, M Chapwanya, JK Djoko, P Kama, JMS Lubuma, ... Journal of Difference Equations and Applications 26 (6), 818-854, 2020 | 20 | 2020 |

Modeling of autothermal thermophilic aerobic digestion J Rojas, M Burke, M Chapwanya, K Doherty, I Hewitt, A Korobeinikov, ... Mathematics-in-Industry Case Studies 2, 34-63, 2010 | 19 | 2010 |

A model for reactive porous transport during re-wetting of hardened concrete M Chapwanya, JM Stockie, W Liu Journal of Engineering Mathematics 65, 53-73, 2009 | 18 | 2009 |

A nonstandard finite difference technique for singular Lane-Emden type equations M Chapwanya, R Dozva, G Muchatibaya Engineering Computations 36 (5), 1566-1578, 2019 | 17 | 2019 |

An explicit nonstandard finite difference scheme for the FitzHugh–Nagumo equations M Chapwanya, OA Jejeniwa, AR Appadu, JMS Lubuma International Journal of Computer Mathematics 96 (10), 1993-2009, 2019 | 15 | 2019 |

An explicit nonstandard finite difference scheme for the Allen–Cahn equation AA Aderogba, M Chapwanya Journal of Difference Equations and Applications 21 (10), 875-886, 2015 | 15 | 2015 |

A soft condensed matter approach towards mathematical modelling of mass transport and swelling in food grains M Chapwanya, NN Misra Journal of Food Engineering 145, 37-44, 2015 | 15 | 2015 |

Some optimised schemes for 1D Korteweg-de-Vries equation AR Appadu, M Chapwanya, OA Jejeniwa Progress in Computational Fluid Dynamics, an International Journal 17 (4 …, 2017 | 14 | 2017 |

A mathematical model of meat cooking based on polymer–solvent analogy M Chapwanya, NN Misra Applied Mathematical Modelling 39 (14), 4033-4043, 2015 | 14 | 2015 |

Application of mathematical epidemiology to crop vector-borne diseases: the Cassava Mosaic virus disease case M Chapwanya, Y Dumont Infectious Diseases and Our Planet, 57-95, 2021 | 13 | 2021 |

On synergistic co-infection in crop diseases. The case of the Maize Lethal Necrosis Disease M Chapwanya, A Matusse, Y Dumont Applied Mathematical Modelling 90, 912-942, 2021 | 12 | 2021 |

On a fractional step-splitting scheme for the Cahn-Hilliard equation AA Aderogba, M Chapwanya, JK Djoko Engineering Computations 31 (7), 1151-1168, 2014 | 11 | 2014 |