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

作     者：严建平 郭本瑜 Jian-ping YAN;Ben-yu GUO

作者机构：Department of Mathematics Shanghai Normal University Department of Applied Mathematics Guangdong University of Finance Scientific Computing Key Laboratory of Shanghai Universities Division of Computational Science of E-institute of Shanghai Universities 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2011年第32卷第12期

页      面：1541-1564页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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) 

主　　题：Laguerre-Gauss collocation method initial value problem second orderODEs 

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.