Solution of the System of Ordinary Differential Equations by Combined Laplace Transform–Adomian Decomposition Method
Department of Electronics and Computer Education, Faculty of Technical Education, Gazi University, 06500, Teknikokullar, Ankara, Turkey
Math. Comput. Appl. 2012, 17(3), 203-211; https://doi.org/10.3390/mca17030203
Published: 1 December 2012
Abstract
In this paper, combined Laplace transform–Adomian decomposition method is presented to solve differential equations systems. Theoretical considerations are being discussed. Some examples are presented to show the ability of the method for linear and non-linear systems of differential equations. The results obtained are in good agreement with the exact solution and Runge-Kutta method.
Share and Cite
MDPI and ACS Style
Doğan, N. Solution of the System of Ordinary Differential Equations by Combined Laplace Transform–Adomian Decomposition Method. Math. Comput. Appl. 2012, 17, 203-211. https://doi.org/10.3390/mca17030203
AMA Style
Doğan N. Solution of the System of Ordinary Differential Equations by Combined Laplace Transform–Adomian Decomposition Method. Mathematical and Computational Applications. 2012; 17(3):203-211. https://doi.org/10.3390/mca17030203
Chicago/Turabian StyleDoğan, Nurettin. 2012. "Solution of the System of Ordinary Differential Equations by Combined Laplace Transform–Adomian Decomposition Method" Mathematical and Computational Applications 17, no. 3: 203-211. https://doi.org/10.3390/mca17030203
