一类线性方程组奇异边值问题的谱配置方法  

Spectral Collocation Method for a Class of Linear System Singular Boundary Value Problems

作　　者：蔡伟云[1] 王天军[1] 殷艳红[1] 

机构地区：[1]河南科技大学数学与统计学院,河南洛阳471023

出　　处：《河南科技大学学报（自然科学版）》2014年第5期87-89,94,共4页Journal of Henan University of Science And Technology:Natural Science

基　　金：国家自然科学基金项目(11371123;11171227);河南省教育厅自然科学基金项目(14B11021);河南科技大学博士基金项目(09001263)

摘　　要：对常微分方程组奇异边值问题进行了正则化处理,利用Legendre-Gauss-Lobatto节点为配置点,用Legendre谱配置法求其数值解,逼近方程组的正确解。数值例子说明求解该类问题的具体方法和步骤。数值实验结果证明了所提算法格式的有效性和高精度。By using a regularization technique and Legendre-Gauss-Lobatto nodes as collocation points,Legendre collocation method was constructed to investigate the numerical solution to a class of linear system singular boundary value problems. The given numerical example illustrates the details of the proposed method in solving this kind of problems. Numerical results demonstrate the high efficiency and accuracy of the method.

关 键 词：常微分方程组 奇异边值问题 Legendre配点法 Legendre-Gauss-Lobatto节点 

分 类 号：O241.81[理学—计算数学]