Second order generalized Laguerre function approximation and its applications to fourth-order differential equations

摘要：

In this paper, we investigate second-order generalized Laguerre approximation. Various orthogonal projections are established. As an example of their important applications, we propose the spectral scheme for some fourth order differential equations on unbounded domain, their convergence are proved. Numerical results demonstrate the high accuracy of this new spectral method.

关键词： Index Terms-Second-order generalized Laguerre approximation spectral method fourth order differential equation

作者: Zhang Xiao-yong Sui Jiang Hua

作者单位: Department of Mathematics, Shanghai Maritime University Pudong Avenue , 1550, Shanghai, 200135, Chin Mechanical engineering college, Dalian Fisher University, China

会议类型: 国际会议

会议名称: The Fourth International Joint Conference on Computational Science and Optimization(第四届计算科学与优化国际大会 CSO 2011)

会议地点: 昆明、丽江

会议语种:英文

页码: 150-154

在线出版日期: 2011-04-15（万方平台首次上网日期，不代表论文的发表时间）