摘要
本文给出一种Petrov-Galerkin有限元方法,并用以求Kdv方程各种初值问题的数值解,包括孤立波进波解,多个孤立于的相互作用,孤立子与振荡尾波等,所得结果与分析解及其它数值结果作了比较,表明本方法精度高、稳定性好,几乎没有高频伪振荡,计算程序简洁、明瞭,经济实用。
Various initial value problems of KdV equation, such as propagation of single soliton, interaction of multiple solitons and the structure of a soliton and an oscilatory wave train are numerically modelled by a kind of Petrov-Galerkin finite element method. The results are compared with the analytic solutions and the results obtained by different numerical methods. It is shown that this method is more stable, accurate and efficient.
出处
《力学学报》
EI
CSCD
北大核心
1989年第3期354-358,共5页
Chinese Journal of Theoretical and Applied Mechanics
