In this paper, we apply the Adomian decomposition method (ADM) for solving linear and nonlinear 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 applications are solved such as relaxation-oscillation equation.
Ziada, E. (2022). Solution of Ordinary Differential Equations Using Adomian Decomposition Method. Nile Journal of Basic Science, 2(1), 1-10. doi: 10.21608/njbs.2022.277266
MLA
E. A. A. Ziada. "Solution of Ordinary Differential Equations Using Adomian Decomposition Method". Nile Journal of Basic Science, 2, 1, 2022, 1-10. doi: 10.21608/njbs.2022.277266
HARVARD
Ziada, E. (2022). 'Solution of Ordinary Differential Equations Using Adomian Decomposition Method', Nile Journal of Basic Science, 2(1), pp. 1-10. doi: 10.21608/njbs.2022.277266
VANCOUVER
Ziada, E. Solution of Ordinary Differential Equations Using Adomian Decomposition Method. Nile Journal of Basic Science, 2022; 2(1): 1-10. doi: 10.21608/njbs.2022.277266
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