三对角分块矩阵的性质和应用研究
On the Properties and Applications of Tridiagonal Blocked Matrix
李斌 1曹美翠 1赵卫星 1刘益波 1王佩1
作者信息
- 1. 贵州师范学院数学与大数据学院,贵州贵阳 550018
- 折叠
摘要
物理性质的许多稳定过程都归结为椭圆型偏微分方程,而椭圆型方程边值问题的精确解只在一些特殊情况下可以求得,更多情况下需要近似地求解这些问题.讨论了三对角分块矩阵的相关概念及其性质,并利用差分格式给出了三对角分块矩阵在求解椭圆型方程边值问题中的应用,最后通过数值算例验证了该方法的有效性.
Abstract
Many stable processes of physical properties can be attributed to elliptic partial differential equa-tions,and the exact solutions of boundary value problems for elliptic equations can only be obtained in some special cases,requiring more approximate solutions to these problems.This article discusses the concepts and properties of tridiagonal block matrices,and uses difference schemes to provide applications of tridiagonal block matrices in sol-ving boundary value problems of elliptic equations.Finally,the effectiveness of this method is verified through nu-merical examples.
关键词
三对角分块矩阵/差分格式/边值问题/网格函数Key words
Tridiagonal Block Matrices/Difference Schemes/Boundary Value Problems/Grid Functions引用本文复制引用
出版年
2024
NETL
NSTL
万方数据