A NEW KIND OF UNIVERSAL DIFFERENCE SCHEMES FOR SOLVING KDV EQUATION
This paper is based on a typical model for non-linear dispersion equation (KdV equation). Construct two new kinds of the more universal three-time and two-time difference scheme, and give a new method for determining the computational stability of two kinds of difference schemes. Numerical experiment proves practical and effective. The stability criteria which are obtained are indeed a necessary condition; the results prove the two-time difference scheme is more stable than three-time difference scheme, three-time difference scheme is prone to computational instability and the two-time difference scheme is prone to computational stability. Two schemes dont produce the non-linear computational instability, and only results in the linear computational instability. This paper finds when the parameter takes 2/3; the two-time difference scheme has the advantage of high accuracy.
KdV equation Universal difference schemes The computational stability Numerical ezperiment
XIAOZHONG YANG SHURUI BAO LING DONG
School of Mathematics and Physics, North China Electric Power University, Beijing, 102206, P.R.China
国际会议
The Second International Conference on Information & Systems Sciences(ICISS2008)(第二届信息与系统科学国际会议)
大连
英文
55-67
2008-12-18（万方平台首次上网日期，不代表论文的发表时间）