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A meshless local integral equation (LIE) method is proposed for numerical simulation of 2D pattern
formation in nonlinear reaction diffusion systems. The method uses 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
effect of parameters and conditions are studied by considering the well known Schnakenberg model.
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