A New Approximate Analytical Method for ODEs

Hossein Aminikhah

doi:10.2478/jamsi-2014-0002

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A New Approximate Analytical Method for ODEs

Journal of Applied Mathematics, Statistics and Informatics

Volume 10 (2014): Issue 1 (May 2014)

By: Hossein Aminikhah

Open Access

|Jul 2014

Abstract

In this paper, we propose a new algorithm for solving ordinary differential equations. We show the superiority of this algorithm by applying the new method for some famous ODEs. Theoretical considerations are discussed. The first He's polynomials have used to reach the exact solution of these problems. This method which has good stability and accuracy properties is useful in deal with linear and nonlinear system of ordinary differential equations.

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Articles in this issue

DOI: https://doi.org/10.2478/jamsi-2014-0002 | Journal eISSN: 1339-0015 | Journal ISSN: 1336-9180

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Language: English

Page range: 19 - 30

Published on: Jul 15, 2014

Published by: University of Ss. Cyril and Methodius in Trnava

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

perturbation technique,

He's polynomials,

ordinary differential equations

Related subjects:

Computer sciences,

Information technology,

Mathematics,

Logic and set theory,

Probability and statistics,

Applied mathematics

© 2014 Hossein Aminikhah, published by University of Ss. Cyril and Methodius in Trnava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 10 (2014): Issue 1 (May 2014)