A Collocation Method for Initial Value Problems of Second-Order ODEs by Using Laguerre Functions  

作　　者：Jian-Ping Yan Ben-Yu Guo 无 

机构地区：[1]Department of Mathematics,Shanghai Normal University,Shanghai,200234,P.R.China [2]Guangdong University of Finance,510521.2 Department of Mathematics,Shanghai Normal University,Shanghai,200234,P.R.China [3]Scientific Computing Key Laboratory of Shanghai Universities [4]Division of Computational Science of E-institute of Shanghai Universities

出　　处：《Numerical Mathematics(Theory,Methods and Applications)》2011年第2期283-295,共13页高等学校计算数学学报（英文版）

基　　金：supported in part by Foundation for Distinguished Young Talents in Higher Education of Guangdong,China,N.LYM09138;supported in part by NSF of China N.10871131;Fund for Doctor Authority of Chinese Educational Ministry N.20080270001;Shanghai Leading Academic Discipline Project N.S30405;Fund for E-institutes of Shanghai Universities N.E03004.

摘　　要：We propose a collocation method for solving initial value problems of secondorder ODEs by using modified Laguerre functions.This new process provides global numerical solutions.Numerical results demonstrate the efficiency of the proposed algorithm.

关 键 词：Laguerre-Gauss collocation method using modified Laguerre functions initial value problems of second-order ODEs 

分 类 号：O17[理学—数学]