MathSciDoc: An Archive for Mathematician ∫

 
Log In
Sign Up
Help
Go
 

Existence of the discrete travelling waves for a relaxing scheme

Hailiang Liu Jinghua Wang Tong Yang

Analysis of PDEs mathscidoc:1912.43993

Applied Mathematics Letters, 10, (3), 117-122, 1997.5
The existence of a discrete travelling wave is proved for the relaxing scheme. The main idea is to change the original scheme such that the resulting scheme is monotonic to which Jennings' result can be applied. The equivalence of the resulting scheme and the original one is shown when = 1 q. The u-component of the discrete travelling wave thus obtained is a discrete shock for a monotone conservative difference scheme, which approximates the corresponding conservation law.
No keywords uploaded!
[ Download ] [ 2019-12-24 21:11:16 uploaded by Tong_Yang ] [ 463 downloads ] [ 0 comments ] 
@inproceedings{hailiang1997existence,
  title={Existence of the discrete travelling waves for a relaxing scheme},
  author={Hailiang Liu, Jinghua Wang, and Tong Yang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224211116711883557},
  booktitle={Applied Mathematics Letters},
  volume={10},
  number={3},
  pages={117-122},
  year={1997},
}
Hailiang Liu, Jinghua Wang, and Tong Yang. Existence of the discrete travelling waves for a relaxing scheme. 1997. Vol. 10. In Applied Mathematics Letters. pp.117-122. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224211116711883557.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved