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

A Collocation Method for Initial Value Problems of Second-Order ODEs by Using Laguerre Functions
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Year:    2011

Numerical Mathematics: Theory, Methods and Applications, Vol. 4 (2011), Iss. 2 : pp. 283–295

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Numerical Mathematics: Theory, Methods and Applications, Vol. 4 (2011), Iss. 2 : pp. 283–295

Published online:    2011-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

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

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