Al-Mazmumy, M., Alsulami, A.A., Bakodah, H.O. and Alzaid, N. (2022) Modified Adomian Method through Efficient Inverse Integral Operators to Solve Nonlinear Initial-Value Problems for Ordinary Differential Equations. Axioms, 11, Article No. 698.
https://doi.org/10.3390/axioms11120698

has been cited by the following article:

• TITLE: Adomian Modification Methods for the Solution of Chebyshev’s Differential Equations

  AUTHORS: Mariam Al Mazmumy, Aishah Alsulami, Huda Bakodah, Nawal Alzaid

  KEYWORDS: ADM, Modifications Methods, Chebyshev’s Differential Equations, IVPs, Series Solutions

  JOURNAL NAME: Applied Mathematics, Vol.14 No.8, August 24, 2023

  ABSTRACT: The current study examines the important class of Chebyshev’s differential equations via the application of the efficient Adomian Decomposition Method (ADM) and its modifications. We have proved the effectiveness of the employed methods by acquiring exact analytical solutions for the governing equations in most cases; while minimal noisy error terms have been observed in a particular method modification. Above all, the presented approaches have rightly affirmed the exactitude of the available literature. More to the point, the application of this methodology could be extended to examine various forms of high-order differential equations, as approximate exact solutions are rapidly attained with less computation stress.