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- W2316273896 abstract "Reaction-diffusion-chemotaxis systems have proven to be fairly accurate mathematical models for many pattern formation problems in chemistry and biology. These systems are important for computer simulations of patterns, parameter estimations as well as analysis of the biological systems. To solve reaction-diffusion-chemotaxis systems, efficient and reliable numerical algorithms are essential for pattern generations. In this paper, a general reaction-diffusion-chemotaxis system is considered for specific numerical issues of pattern simulations. We propose a fully explicit discretization combined with a variable optimal time step strategy for solving the reaction-diffusion-chemotaxis system. Theorems about stability and convergence of the algorithm are given to show that the algorithm is highly stable and efficient. Numerical experiment results on a model problem are given for comparison with other numerical methods. Simulations on two real biological experiments will also be shown." @default.
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- W2316273896 date "2007-01-01" @default.
- W2316273896 modified "2023-09-23" @default.
- W2316273896 title "An optimal adaptive time-stepping scheme for solving reaction-diffusion-chemotaxis systems" @default.
- W2316273896 doi "https://doi.org/10.3934/mbe.2007.4.187" @default.
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