Finite Difference Parallel Schemes Based on Follow-flow Scheme for KdV Equation
A group of Saulyev 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.
KdV equationt follow-flow scheme parallel algorithm absolutely stable
Ruimin Zhao Wenzhang He Geyang Guo
Department of Mathematics Tianjin University of Technology and Education Tianjin, China
国际会议
太原
英文
173-176
2010-10-22（万方平台首次上网日期，不代表论文的发表时间）