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Journal of Applied Mathematics, Statistics and Informatics

The Journal of University of Saint Cyril and Metodius

Editor-in-Chief: Kvasnicka, Vladimír

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Mathematical Citation Quotient (MCQ) 2016: 0.02

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Online
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1339-0015
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A New Approximate Analytical Method for ODEs

Hossein Aminikhah
  • Corresponding author
  • Department of Applied Mathematics School of Mathematical Sciences University of Guilan P.O. Box 41335-1914, Rasht, Iran
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Published Online: 2014-07-15 | DOI: https://doi.org/10.2478/jamsi-2014-0002

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.

Keywords: perturbation technique; He's polynomials; ordinary differential equations

MSC: 34A24; 34A45; 55P05

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About the article

Published Online: 2014-07-15


Citation Information: Journal of Applied Mathematics, Statistics and Informatics, ISSN (Online) 1336-9180, DOI: https://doi.org/10.2478/jamsi-2014-0002.

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© 2014 Faculty of Natural Sciences, University of Saint Cyril and Metodius. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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