Pattern Formation Simulations In
Reaction-diffusion Systems By Local Integral
Equation Method
Author(s)
V. Sladek, J. Sladek & A. Shirzadi
Abstract
A meshless Local Integral Equation (LIE) method is proposed for numerical
simulation of 2D pattern formation in nonlinear reaction-diffusion systems. The
method works with weak formulation of the differential governing equations on
local sub-domains with using the Green function of the Laplace operator as the
test function. The Moving Least Square (MLS) approximation is employed for
spatial variations of field variables while the time evolution is discretized by
using suitable finite difference approximations. The effects of model parameters
and conditions are studied by considering the well known Schnakenberg model.
Keywords: nonlinear reaction-diffusion systems, Turing instability, pattern
formation, Schnakenberg model, meshless methods, local integral equations,
moving least squares, finite differences.
Keywords
nonlinear reaction-diffusion systems, Turing instability, pattern
formation, Schnakenberg model, meshless methods, local integral equations,
moving least squares, finite differences
Related Book
Other papers in this volume
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