| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4633543 | Applied Mathematics and Computation | 2008 | 9 Pages |
Abstract
In this paper, a special lattice Boltzmann model is developed to solve the modified Burgers' equation. The maximum principle and the stability are proved. The model has been verified by several test examples. Excellent agreement is obtained between numerical predictions and the constructed asymptotic solutions or available numerical results. The careful numerical study indicates the computational efficiency and stability of the lattice Boltzmann method.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yali Duan, Ruxun Liu, Yanqun Jiang,