Gray-Scott反应扩散模型的高效数值模拟Efficient Numerical Simulation of Gray-Scott Reaction-Diffusion Model
唐思平,陈潇玥
摘要(Abstract)：
针对Gray-Scott反应扩散模型，研究了一种高效求解算法来模拟由Gray-Scott反应扩散系统所描述的动力学行为.将算法设计分为三步：首先通过维数分裂方法将高维问题分解为一系列可以并行求解的一维子问题，这有助于提升计算效率；其次，使用Crank-Nicolson格式离散每个一维子问题，并使用紧致差分格式将空间收敛阶提高到四阶；最后利用Richardson外推法提高时间收敛阶.通过数值算例验证了离散格式的有效性.
关键词(KeyWords)： Gray-Scott反应扩散模型;有限差分法;维数分裂
基金项目(Foundation): 新疆农业大学大学生创新训练计划项目(dxscx2024601)
作者(Author): 唐思平,陈潇玥
DOI: 10.16393/j.cnki.37-1436/z.2024.05.013
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