| 基于二次B样条有限元法的Kuramoto-Sivashinsky方程的数值解 |
| |
| 引用本文： | 尹永学,朴光日,金元峰.基于二次B样条有限元法的Kuramoto-Sivashinsky方程的数值解[J].延边大学理工学报,2013,0(4):248-251. |
| |
| 作者姓名： | 尹永学 朴光日 金元峰 |
| |
| 作者单位： | 延边大学理学院数学系,吉林延吉133002 |
| |
| 摘 要： | 利用二次B样条有限元方法求解Kuramoto—Sivashinsky方程的数值解．首先利用二次B样条有限元法将Kuramoto—Sivashinsky方程转化为时间的非线性常微分方程，然后利用四阶龙格一库塔方法得到了该常微分方程的近似解．通过例题计算表明，该方法精确度较高具有很强的适应性．
|
| 关 键 词： | 样条有限元法 数值解 方程 二次 金元 |
The numerical solution of Kuramoto-Sivashinsky equation based on a quadratic B-spline finite element method |
| |
| YIN Yongxue,PIAO Guangri,JIN Yuanfeng.The numerical solution of Kuramoto-Sivashinsky equation based on a quadratic B-spline finite element method[J].Journal of Yanbian University (Natural Science),2013,0(4):248-251. |
| |
| Authors: | YIN Yongxue PIAO Guangri JIN Yuanfeng |
| |
| Affiliation: | ( Department of Mathematics, College of Science, Yanbian University, Yanji 133002, China ) |
| |
| Abstract: | A quadratic B-spline C-alerkin finite element method for spatial variable combined with fourth order Runge-Kutta method for time variable is proposed to solve Kuramoto-Sivashinsky equation numerically. Some numerical result show that the numerical scheme has high accuracy and strong applicability. |
| |
| Keywords: | Kuramoto-Sivashinsky equation Galerkin finite element techniques quadratic B-spline function |
| 本文献已被 维普 等数据库收录！ |
| 点击此处可从《延边大学理工学报》浏览原始摘要信息 |
|
点击此处可从《延边大学理工学报》下载全文 |
