<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

A New Approximate Analytical Method for ODEs

Department of Applied Mathematics School of Mathematical Sciences University of Guilan P.O. Box 41335-1914, Rasht, Iran

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"A New Approximate Analytical Method for ODEs"}

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...

A New Approximate Analytical Method for ODEs

Publié en ligne: 15 juil. 2014

Pages: 19 - 30

DOI: https://doi.org/10.2478/jamsi-2014-0002

Mots clés
perturbation technique, He's polynomials, ordinary differential equations

© 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.

A New Approximate Analytical Method for ODEs

Publié en ligne: 15 juil. 2014

Pages: 19 - 30

DOI: https://doi.org/10.2478/jamsi-2014-0002

Mots clésperturbation technique, He's polynomials, ordinary differential equations

© 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.

Mots clés
perturbation technique, He's polynomials, ordinary differential equations