Abstract
This paper discusses the numerical solution of Burgers' equation on unbounded domains. Two artificial boundaries are introduced and boundary conditions are obtained on the artificial boundaries, which are in nonlinear forms. Then the original problem is reduced to an equivalent problem on a bounded domain. Finite difference method is applied to the reduced problem, and some numerical examples are given to show the effectiveness of the new approach.
| Original language | English |
|---|---|
| Pages (from-to) | 295-304 |
| Number of pages | 10 |
| Journal | Journal of Computational Mathematics |
| Volume | 24 |
| Issue number | 3 |
| Publication status | Published - May 2006 |
Scopus Subject Areas
- Computational Mathematics
User-Defined Keywords
- Burgers' equation
- Unbounded domain
- Artificial boundary condition.