Numer. Math. Theor. Meth. Appl., 4 (2011), pp. 283-295.


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

Jian-Ping Yan 1, Ben-Yu Guo 2*

1 Department of Mathematics, Shanghai Normal University, Shanghai, 200234, P. R. China; and Guangdong University of Finance, 510521.
2 Department of Mathematics, Shanghai Normal University, Shanghai, 200234, P. R. China; Scientific Computing Key Laboratory of Shanghai Universities; and Division of Computational Science of E-institute of Shanghai Universities.

Received 9 June 2010; Accepted (in revised version) 16 November 2010
Abstract

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

AMS subject classifications: 65L05, 41A30
Key words: Laguerre-Gauss collocation method using modified Laguerre functions, initial value problems of second-order ODEs.
*Corresponding author.
Email: hnyanjianping@eyou.com (J.-P. Yan), byguo@shnu.edu.cn (B.-Y. Guo)
 

The Global Science Journal