Published Online: Jul 15, 2014
Page range: 19 - 30
DOI: https://doi.org/10.2478/jamsi-2014-0002
Keywords
© 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.
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.