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

Authors

  • Jian-Ping Yan & Ben-Yu Guo

DOI:

https://doi.org/10.4208/nmtma.2011.42s.9

Keywords:

Laguerre-Gauss collocation method using modified Laguerre functions, initial value problems of second-order ODEs.

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.

Published

2011-04-01

Issue

Section

Articles