Solution of the System of Ordinary Differential Equations by Combined Laplace Transform–Adomian Decomposition Method

Mathematical and Computational Applications

Doğan, Nurettin¹ 

关键词: Differential equations systems;    Laplace transform;    Adomian decomposition method;   

DOI  :  10.3390/mca17030203

学科分类：计算数学

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY