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

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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:

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

10.4208/nmtma.2011.42s.9