The Asymptotic Expansion Method via Symbolic Computation

Author:

Navarro Juan F.1

Affiliation:

1. Departamento de Matemática Aplicada, Universidad de Alicante, Carretera San Vicente del Raspeig s/n, 03690 San Vicente del Raspeig, Alicante, Spain

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.

Publisher

Hindawi Limited

Subject

Applied Mathematics

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Computation of Periodic Solutions in Differential Systems of First Order;2015 Second International Conference on Mathematics and Computers in Sciences and in Industry (MCSI);2015-08

2. A Symbolic Computation Approach to Parameterizing Controller for Polynomial Hamiltonian Systems;Mathematical Problems in Engineering;2014

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