In this paper, we apply the Adomian decomposition method (ADM) for solving linear and nonlinear system of ordinary differential equations (ODEs). The existence and uniqueness of the solution are proved. The convergence of the series solution and the error analysis are discussed. Some numerical examples are solved.
Ziada, E. (2022). Analytical Solution of a System of Ordinary Differential Equations. Nile Journal of Basic Science, 2(1), 11-20. doi: 10.21608/njbs.2022.277270
MLA
E. A. A. Ziada. "Analytical Solution of a System of Ordinary Differential Equations". Nile Journal of Basic Science, 2, 1, 2022, 11-20. doi: 10.21608/njbs.2022.277270
HARVARD
Ziada, E. (2022). 'Analytical Solution of a System of Ordinary Differential Equations', Nile Journal of Basic Science, 2(1), pp. 11-20. doi: 10.21608/njbs.2022.277270
VANCOUVER
Ziada, E. Analytical Solution of a System of Ordinary Differential Equations. Nile Journal of Basic Science, 2022; 2(1): 11-20. doi: 10.21608/njbs.2022.277270
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