The Asymptotic Expansion Method via Symbolic Computation

Juan F. Navarro

doi:10.1155/2012/201340

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Home > Journals > J. Appl. Math. > Volume 2012 > Article

2012 The Asymptotic Expansion Method via Symbolic Computation

Juan F. Navarro

J. Appl. Math. 2012: 1-24 (2012). DOI: 10.1155/2012/201340

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Abstract

This paper describes an algorithm for implementing a perturbation method based on an asymptotic expansion of the solution to a second-order differential equation. We also introduce a new symbolic computation system which works with the so-called modified quasipolynomials, as well as an implementation of the algorithm on it.