Laguerre Spectral Method for High Order Problems  

作　　者：Chao Zhang Ben-Yu Guo Tao Sun 

机构地区：[1]Department of Mathematics,Jiangsu Normal University,Xuzhou,221116,Jiangsu,China [2]Department of Mathematics,Shanghai Normal University,Shanghai,200234,China&Scientific Computing Key Laboratory of Shanghai Universities&Division of Computational Science of E-institute of Shanghai Universities [3]Department of Applied Mathematics,Shanghai Finance University,Shanghai,201209,China

出　　处：《Numerical Mathematics(Theory,Methods and Applications)》2013年第3期520-537,共18页高等学校计算数学学报（英文版）

基　　金：The work of the first author is supported in part by NSF of China No.11171227;Research Fund for young teachers of Jiangsu Normal University No.11XLR27;and Priority Academic Program Development of Jiangsu Higher Education Institutions.The work of the second author is supported in part by NSF of China No.11171227;Fund for Doctoral Authority of China No.20123127110001;Fund for Einstitute of Shanghai Universities No.E03004;and Leading Academic Discipline Project of Shanghai Municipal Education Commission No.J50101.

摘　　要：In this paper,we propose the Laguerre spectral method for high order problems with mixed inhomogeneous boundary conditions.It is also available for approximated solutions growing fast at infinity.The spectral accuracy is proved.Numerical results demonstrate its high effectiveness.

关 键 词：Laguerre spectral method high order problems with mixed inhomogeneous boundary conditions 

分 类 号：O17[理学—数学]