Laguerre-Gauss collocation method for initial value problems of second order ODEs  

作　　者：严建平 郭本瑜 

机构地区：[1]Department of Mathematics, Shanghai Normal University [2]Department of Applied Mathematics, Guangdong University of Finance [3]Scientific Computing Key Laboratory of Shanghai Universities [4]Division of Computational Science of E-institute of Shanghai Universities

出　　处：《Applied Mathematics and Mechanics(English Edition)》2011年第12期1541-1564,共24页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China(No.11171227);the Ph.D.Programs Foundation of Ministry of Education of China(No.20080270001);the Shanghai Leading Academic Discipline Project(No.S30405);the Fund for E-Institute of Shanghai Universities(No.E03004);the Foundation for Distinguished Young Talents in Higher Education of Guangdong of China(No.LYM09138)

摘　　要：This paper proposes a new collocation method for initial value problems of second order ODEs based on the Laguerre-Gauss interpolation. It provides the global numerical solutions and possesses the spectral accuracy. Numerical results demonstrate its high efficiency.This paper proposes a new collocation method for initial value problems of second order ODEs based on the Laguerre-Gauss interpolation. It provides the global numerical solutions and possesses the spectral accuracy. Numerical results demonstrate its high efficiency.

关 键 词：Laguerre-Gauss collocation method initial value problem second orderODEs 

分 类 号：O175.8[理学—数学]