Solving 3-D Gray–Scott Systems with Variable Diffusion Coefficients on Surfaces by Closest Point Method with RBF-FD

The Gray–Scott (GS) model is a non-linear system of equations generally adopted to describe reaction–diffusion dynamics. In this paper, we discuss numerical scheme for solving the GS system. diffusion coefficients are on surfaces and they depend space time. regard, first adopt an implicit difference stepping method semi-discretize in time direction. Then, implement hybrid advanced meshless discretization. way, solve problem with radial basis function–finite (RBF-FD) algorithm combined closest point (CPM). Moreover, design predictor–corrector deal terms dynamic. practical example, show spot stripe patterns given initial condition. Finally, experimentally prove that presented provides benefits accuracy performance system’s solution.