%0 Journal Article
%T A Multilevel Finite Difference Scheme for One-Dimensional Burgers Equation Derived from the Lattice Boltzmann Method
%A Qiaojie Li
%A Zhoushun Zheng
%A Shuang Wang
%A Jiankang Liu
%J Journal of Applied Mathematics
%D 2012
%I Hindawi Publishing Corporation
%R 10.1155/2012/925920
%X An explicit finite difference scheme for one-dimensional Burgers equation is derived from the lattice Boltzmann method. The system of the lattice Boltzmann equations for the distribution of the fictitious particles is rewritten as a three-level finite difference equation. The scheme is monotonic and satisfies maximum value principle; therefore, the stability is proved. Numerical solutions have been compared with the exact solutions reported in previous studies. The 2, ¡Þ and Root-Mean-Square (RMS) errors in the solutions show that the scheme is accurate and effective.
%U http://www.hindawi.com/journals/jam/2012/925920/