Abstract
Nonlinear reaction-diffusion problems are ubiquitous in science, ranging from physics to engineering, from economy to biology. In particular, in this paper two-dimensional problems with generic Dirichlet boundary conditions or homogeneous Neumann boundary conditions are focused on. To simulate this class of mathematical problems, a quite simple generalized collocation method is proposed and developed. Moreover, a test case and an application to the Schnakenberg model are described, in order to show the efficiency of the simulation method and the goodness of the numerical results.
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