A Multilevel Finite Difference Scheme for One-Dimensional Burgers Equation Derived from the Lattice Boltzmann Method
Joint Authors
Liu, Jiankang
Li, Qiaojie
Zheng, Zhoushun
Wang, Shuang
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-17
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
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 L2, L∞ and Root-Mean-Square (RMS) errors in the solutions show that the scheme is accurate and effective.
American Psychological Association (APA)
Li, Qiaojie& Zheng, Zhoushun& Wang, Shuang& Liu, Jiankang. 2012. A Multilevel Finite Difference Scheme for One-Dimensional Burgers Equation Derived from the Lattice Boltzmann Method. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-993851
Modern Language Association (MLA)
Li, Qiaojie…[et al.]. A Multilevel Finite Difference Scheme for One-Dimensional Burgers Equation Derived from the Lattice Boltzmann Method. Journal of Applied Mathematics No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-993851
American Medical Association (AMA)
Li, Qiaojie& Zheng, Zhoushun& Wang, Shuang& Liu, Jiankang. A Multilevel Finite Difference Scheme for One-Dimensional Burgers Equation Derived from the Lattice Boltzmann Method. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-993851
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993851
