| 半直线上三阶方程的Legendre-Laguerre耦合谱元法 |
| |
| 引用本文： | 庄清渠,蔡耀雄. 半直线上三阶方程的Legendre-Laguerre耦合谱元法[J]. 数学研究, 2012, 45(2): 179-187 |
| |
| 作者姓名： | 庄清渠 蔡耀雄 |
| |
| 作者单位： | 华侨大学数学科学学院,福建泉州,362021 |
| |
| 基金项目： | 福建省自然科学基金资助项目，国家自然科学基金资助项目 |
| |
| 摘 要： | 针对建立在半直线上的三阶微分方程,提出Legendre-Laguerre耦合谱元法.通过构造满足试探函数空间和检验函数空间的基函数,分解得到的线性系统的系数矩阵是稀疏的,可以有效地进行求解.数值例子验证了方法的有效性和高精度.
|
| 关 键 词： | Legendre-Laguerre耦合谱元法 三阶微分方程 半直线 |
Legendre-Laguerre Coupled Spectral-element Method for the Third-order Equations on the Half Line |
| |
| Zhuang Qingqu Cai Yaoxiong. Legendre-Laguerre Coupled Spectral-element Method for the Third-order Equations on the Half Line[J]. Journal of Mathematical Study, 2012, 45(2): 179-187 |
| |
| Authors: | Zhuang Qingqu Cai Yaoxiong |
| |
| Affiliation: | Zhuang Qingqu Cai Yaoxiong (School of Mathematical Sciences,Huaqiao University,Quanzhou Pujian 362021) |
| |
| Abstract: | Legendre-Laguerre coupled spectral-element method is proposed to numerically solve linear third-order differential equations on the half line.By choosing appropriate trial and test basis functions,the problems are decomposed into some sparse linear systems which can be solved easily.Numerical experiments are given to confirm the effectiveness and high-accuracy of the method. |
| |
| Keywords: | Legendre-Laguerre coupled spectral-element method third-order differential equation half line |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
