| 四阶混合边值问题的广义Jacobi-Petrov-Galerkin谱方法 |
| |
| 引用本文： | 孙涛,侯燕. 四阶混合边值问题的广义Jacobi-Petrov-Galerkin谱方法[J]. 郑州大学学报(自然科学版), 2013, 0(4): 26-29 |
| |
| 作者姓名： | 孙涛 侯燕 |
| |
| 作者单位： | [1]上海金融学院应用数学系,上海201209 [2]周口师范学院计算机科学与技术学院,河南周口466001 |
| |
| 基金项目： | 国家自然科学基金数学天元青年项目,编号11326244;上海高校青年教师培养资助计划,编号ZZshjrl2009. |
| |
| 摘 要： | 发展了矩形区域上的四阶混合边值问题的广义Jacobi—Petrov-Galerkin谱方法，利用广义Jacobi多项式对模型问题的精确解进行数值展开，设计了有效的数值算法．数值结果验证了该算法的有效性和高精度．
|
| 关 键 词： | 四阶混合边值问题 广义Jacobi—Petrov—Galerkin谱方法 广义Jacobi—Gauss—Lobatto插值 |
Generalized Jacobi-Petrov-Galerkin Spectral Method for Fourth-order Mixed Boundary Value Problems |
| |
| SUN Tao,HOU Yan. Generalized Jacobi-Petrov-Galerkin Spectral Method for Fourth-order Mixed Boundary Value Problems[J]. Journal of Zhengzhou University (Natural Science), 2013, 0(4): 26-29 |
| |
| Authors: | SUN Tao HOU Yan |
| |
| Affiliation: | 1. Department of Applied Mathematics, Shanghai Finance University, Shanghai 201209, China; 2. School of Computer Science and Technology, Zhoukou Normal University, Zhoukou 466001, China) |
| |
| Abstract: | A generalized Jacobi-Petrov-Galerkin spectral method for fourth-order mixed boundary value problems in rectangular domain was developed. The numerical solution was expanded by generalized Jacobi polynomials. Efficient numerical algorithm was designed. Numerical results demonstrated the effi- ciency and high accuracy of the algorithm. |
| |
| Keywords: | fourth-order mixed boundary value problem generalized Jacobi-Petrov-Galerkin spectral method generalized Jacobi-Gauss-Lobatto interpolation |
| 本文献已被 维普 等数据库收录！ |
