Journal of Jishou University(Natural Sciences Edition) ›› 2023, Vol. 44 ›› Issue (4): 19-30.DOI: 10.13438/j.cnki.jdzk.2023.04.003

• Mathematics • Previous Articles     Next Articles

Lattice Boltzmann Numerical Method for the Extended Fisher-Kolmogorov Equation

FENG Yingxin,DAI Houping,WANG Chen,WEI Xuedan   

  1. (College of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan China)
  • Online:2023-07-25 Published:2023-07-26

Abstract: A new numerical format for solving the extended Fisher-Kolmogorov (EFK) equation is constructed based on the lattice Boltzmann method.The Taylor expansion and Chapman-Enskog multiscale expansion techniques are used to obtain the local equilibrium state distribution functions and correction functions of the lattice Boltzmann model for the one-and two-dimensional EFK equations,and to further recover the corresponding macroscopic equations.On this basis,stability conditions for the iterative format of the model are derived,and the model is used to solve the initial marginal value problem of the EFK equation.

Key words: extended Fisher-Kolmogorov equation, lattice Boltzmann method, numerical computation, stability analysis

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