Subject Area
Mathematics and Engineering Physics
Article Type
Original Study
Abstract
In the research, the Adomian decomposition method will be applied to get the solution of differential equations of arbitrary orders by transforming them into systems. The existence of a unique solution will be proven. The series solution converges is discussed, and more than the error is estimated. Some applications will be solved, which are the Basset problem and the Bagley-Torvik equation.
Keywords
Differential equations of arbitrary orders; Adomian method; existence and uniqueness; convergence of series solution; error estimation; Basset problem and Bagley-Torvik equation.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Recommended Citation
Ziada, E. A. A.
(2023)
"Converting a nonlinear differential equation with arbitrary orders to a system,"
Mansoura Engineering Journal: Vol. 49
:
Iss.
2
, Article 13.
Available at:
https://doi.org/10.58491/2735-4202.3143
