Numerical method based on the lattice Boltzmann model for the Fisher equation.
In this paper, a lattice Boltzmann model for the Fisher equation is proposed. First, the Chapman-Enskog expansion and the multiscale time expansion are used to describe higher-order moment of equilibrium distribution functions and a series of partial differential equations in different time scales. Second, the modified partial differential equation of the Fisher equation with the higher-order truncation error is obtained. Third, comparison between numerical results of the lattice Boltzmann models and exact solution is given. The numerical results agree well with the classical ones.
Yan
Guangwu
G
Department of Mechanics and Engineering Mathematics, College of Mathematics, Jilin University, Changchun 130012, People's Republic of China. yangw@email.jlu.edu.cn
Zhang
Jianying
J
Dong
Yinfeng
Y
D000465:Algorithms; D000818:Animals; D003198:Computer Simulation; D004058:Diffusion; D006801:Humans; D008956:Models, Chemical; D008957:Models, Genetic; D015233:Models, Statistical; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D009716:Numerical Analysis, Computer-Assisted; D011157:Population Dynamics