A multilevel finite difference scheme for one-dimensional Burgers equation derived from the lattice Boltzmann method
type: Item
instance of: scholarly article
title: A multilevel finite difference scheme for one-dimensional Burgers equation derived from the lattice Boltzmann method
zbMATH Open document ID: 1244.76066
DOI: 10.1155/2012/925920
author: Qiaojie Li
author: Zhoushun Zheng
author: Jiankang Liu
author: Shuang Wang
published in: Journal of Applied Mathematics
publication date: 2012-08-06T00:00:00Z
review text: Summary: 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 \(L_2, L_\infty\) and Root-Mean-Square (RMS) errors in the solutions show that the scheme is accurate and effective.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76M28
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 6063515
Wikidata QID: Q58906946
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/925920
OpenAlex ID: W2006167116
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description: scientific article; zbMATH DE number 6063515