五次B样条配置法求解广义KdV方程  

A Collocation Method of Quintic B-spline for Solving General KdV Equation

作　　者：刘兴霞[1] 孙建安[2] 张利军[1] 

机构地区：[1]天水师范学院物理与信息科学学院,甘肃天水741001 [2]西北师范大学物理与电子工程学院,甘肃兰州730070

出　　处：《天水师范学院学报》2010年第2期23-26,共4页Journal of Tianshui Normal University

摘　　要：采用有限元方法进行空间离散,构造了求一维非线性广义KdV方程孤立波解的五次B样条配置法.数值计算了p=1,p=2和p=3时该方程的孤立波解,从结果来看,它们满足该方程的守恒律.It made spatial spreading by using the finite element method and constructed the collocation method of quintic B-spline for solving one-dimensio nal nonlinear general KdV equation in this paper. When p=1, p=2 and p=3, the solitary wave solutions of the equation were calculated, which showed that the results met the conservation law of it.

关 键 词：广义KDV方程 五次B样条 配置法 

分 类 号：O151[理学—数学]