A novel approach to Burgers' equation
โ Scribed by Xu, Mingtian ;Duan, Qi
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 79 KB
- Volume
- 17
- Category
- Article
- ISSN
- 1069-8299
- DOI
- 10.1002/cnm.434
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A complete classification for the self-similar solutions to the generalized Burgers equation \[ u_{t}+u^{\beta} u_{x}=t^{N} u_{x x} \] of the form \(u(t, \eta)=A_{1} t^{-(1-N) / 2 \beta} F(\eta)\), where \(\eta=A_{2} x t^{-(1+N / 2}, A_{2}=1 / \sqrt{2 A}\), and \(A_{1}=\left(2 A_{2}\right)^{-1 / 6
We construct a finite difference scheme for the ordinary differential equation describing the traveling wave solutions to the Burgers equation. This difference equation has the property that its solution can be calculated. Our procedure for determining this solution follows closely the analysis used