John A. Belward

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Modelling droplet movement on leaf surfaces is an important component in understanding how water, pesticide or nutrient is absorbed through the leaf surface. A simple mathematical model is proposed in this paper for generating a realistic, or natural looking trajectory of a water droplet traversing a virtual leaf surface. The virtual surface is comprised of(More)
We employ the truncated Chebyshev series to approximate the Bessel function of the second kind Y n (z) for jzj 8. Detailed manipulations and discussions for Y 0 (z) and Y 1 (z) are given. Results of numerical experiments are presented to demonstrate the computed accuracy by using the Chebyshev series approximation. Advantages and disadvantages of the(More)
A curvilinear thin film model is used to simulate the motion of droplets on a virtual leaf surface, with a view to better understand the retention of agricultural sprays on plants. The governing model, adapted from Roy et al. (2002 J. Fluid Mech. 454, 235-261 (doi:10.1017/S0022112001007133)) with the addition of a disjoining pressure term, describes the(More)
Recent academic developments which include a changing student profile, the focus of contemporary research, and social trends have combined to pose significant challenges in first year undergraduate mathematics courses. Issues which arise include the content level, the need to maintain rigour, addressing the needs of specialist and non-specialist students,(More)
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