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

Published online by Cambridge University Press:  28 May 2015

Jian-Ping Yan  and
Ben-Yu Guo
Jian-Ping Yan*
Affiliation:
Department of Mathematics, Shanghai Normal University, Shanghai, 200234, P. R. China. Guangdong University of Finance, 510521
Ben-Yu Guo*
Affiliation:
Department of Mathematics, Shanghai Normal University, Shanghai, 200234, P. R. China. Scientific Computing Key Laboratory of Shanghai Universities. Division of Computational Science of E-institute of Shanghai Universities
*
Corresponding author.Email address:hnyanjianping@eyou.com
Corresponding author.Email address:byguo@shnu.edu.cn
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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.

Keywords

65L0541A30Laguerre-Gauss collocation method using modified Laguerre functionsinitial value problems of second-order ODEs
Type
Research Article
Information
Numerical Mathematics: Theory, Methods and Applications , Volume 4 , Issue 2 , May 2011 , pp. 283 - 295
Copyright
Copyright © Global Science Press Limited 2011

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