改进的郭涛算法解一类有限元离散常微分方程  

Improved Guotao algorithm for a kind of ordinary differential equation discretized by finite element method

作　　者：向占宏[1,2] 郑玉军[1] 张又才[3] 

机构地区：[1]湖南师范大学数学与计算机科学学院 [2]湖南财经高等专科学校信息管理系,湖南长沙410205 [3]湖南省衡阳财经工业职业技术学院

出　　处：《企业技术开发》2007年第1期33-35,共3页Technological Development of Enterprise

摘　　要：文章提出了改进的郭涛算法,并运用该算法解区域分裂、有限元离散之后的非线性常微分方程两点边值问题。数值结果表明该算法能很好地收敛到准确解,精度较高。In this paper we put forward improved Guotao algorithm. Then we efficiently solve the two point boundary value problem of nonlinear ordinary differential equation discretized by finite element method in small areas which is divided by domain decomposition method.. Numerical experiments show that the algorithm performs well on convergence to the exact solution and the accuracy is also satisfied.

关 键 词：非线性常微分方程 区域分裂法 有限元法 改进的郭涛算法 

分 类 号：O175.14[理学—数学]