Generalized Laguerre Interpolation and Its Application to Differential Equation

摘要：

In this paper,we develop the generalized Laguerre pseudospectral method for solving initial problems of second order ordinary differential equation. We also propose a multi-step version of the generalized Laguerre collocation method, which are very ef.cient for long-time numerical simulations. The numerical solutions possess the spectral accuracy. The global convergence of proposed algorithms are proved. Numerical results demonstrate the effectiveness of proposed methods and coincide well with theoretical analysis.

关键词： Index Terms—Generalized Laguerre interpolation Collocation method Second order ordinary 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 Ocean University, China

会议类型: 国际会议

会议名称: 2011 IEEE 10th International Symposium on Distributed Computing and Applications to Business,Engineering(第十届电子商务、工程及科学领域的分布式计算和应用国际学术研讨会 DCABES 2011)

会议地点: 无锡

会议语种:英文

页码: 274-278

在线出版日期: 2011-10-14（万方平台首次上网日期，不代表论文的发表时间）