Efficient Numerical Simulation of Gray-Scott Reaction-Diffusion Model
An efficient solving algorithm is studied for the Gray-Scott reaction-diffusion model to sim-ulate the dynamic behavior described by the Gray-Scott reaction-diffusion system.The algorithm design is divided into three steps.Firstly,the high-dimensional problem is decomposed into a series of one-dimen-sional sub-problems that can be solved in parallel through Dimension Splitting Method,which helps to im-prove computational efficiency.Secondly,Crack Nicolson scheme is used to discretize each one-dimension-al sub-problem,and the compact difference scheme is used to increase the spatial convergence order to the fourth order.Finally,Richardson Extrapolation Method is used to improve the time convergence order,and the effectiveness of the discrete format is verified through numerical examples.
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