Finite difference parallel schemes based on follow-flow scheme for KdV equation

Author

Zhao, Ruimin ; He, Wenzhang ; Guo, Geyang

Author_Institution

Dept. of Math., Tianjin Univ. of Technol. & Educ., Tianjin, China

Volume

10

fYear

2010

fDate

22-24 Oct. 2010

Abstract

A group of Saul´yev asymmetric difference schemes based on follow-flow scheme to approach KdV equation is given here. Using these new asymmetric difference schemes, we construct the parallel alternating group schemes based on follow-flow scheme, which are absolutely stable by analysis of linearization procedure. Numerical experiments for the cases of single soliton solution and double soliton solution are performed, which show that the accuracy and stability of the schemes are better than parallel algorithms existed.

Keywords

Korteweg-de Vries equation; finite difference methods; solitons; KdV equation; Saulyev asymmetric difference schemes; double soliton solution; finite difference parallel schemes; follow-flow scheme; linearization procedure analysis; parallel algorithm; parallel alternating group schemes; single soliton solution; Equations; KdV equationt; absolutely stable; follow-flow scheme; parallel algorithm;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Application and System Modeling (ICCASM), 2010 International Conference on

Conference_Location

Taiyuan

Print_ISBN

978-1-4244-7235-2

Electronic_ISBN

978-1-4244-7237-6

Type

conf

DOI

10.1109/ICCASM.2010.5622840

Filename

5622840