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Computational Techniques and Applications Conference and Workshops - CTAC99
September 20-24, 1999
The Australian National University
Canberra, ACT, Australia

Organizers
Mike Osborne, Bob Gingold, Steve Roberts, David Harrar II, Thanh Tran, Bob Anderssen, Henry Gardner, Markus Hegland, Lutz Grosz

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Numerical simulation of pattern formation on surfaces
by
M. Ganesh
University of New South Wales, Sydney
Coauthors: M.A.J. Chaplain (University of Dundee, U.K.), I.G. Graham (University of Bath, U.K.)

In this talk we examine spatio-temporal pattern formation in reaction-diffusion systems on the surface on the sphere in three dimensions. Our numerical scheme is based on the spectral method of lines and uses fast Fourier transforms to expedite the computation of the reaction kinetics. Numerical experiments demonstrate that our method efficiently computes the evolution of spatial patterns and yields numerical results which coincide with those predicted by linear stability analysis. We also investigate the role that pre-pattern (Turing) theory may play in the growth and development of solid tumours.

http://www.maths.unsw.edu.au/~ganesh

Date received: July 8, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cadk-17.