摘要
用格子Boltzmann方法求解用反应-扩散方程组描述的食物链种群模型.我们用一维和二维方程组进行数值实验,模拟结果与现有的数值实验结果很好地吻合,反映了格子Boltzmann方法的高效性和稳定性.并就二维格子Boltzmann格式,通过其等价的差分格式,由极值原理证明了该格式的稳定性.
Lattice Boltzmann schemes for simulating food-chain populations described by the reaction-diffusion equations are investigated. Two examples, 1-D and 2-D systems, are made to show the efficiency and stability of this method. The numerical predictions are in good agreement with the available results. For the 2-D scheme, the maximum principle is proved and the stability is also obtained.
出处
《生物数学学报》
CSCD
北大核心
2007年第4期591-598,共8页
Journal of Biomathematics
基金
The Work is Supported by NNSF of China(10371118)
Innovation Fund of Beijing National Key Laboratory of Computational Physics(NKLCP)
