We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Utilization of the modified Adomian decomposition method on the Bagley-Torvik equation amidst Dirichlet boundary conditions.
- Authors
Al-Mazmumy, Mariam; Alsulami, Mona
- Abstract
The Bagley-Torvik equation is an imperative differential equation that considerably arises in various branches of mathematical physics and mechanics. However, very few methods exist for the treatment of the model analytically; in fact, researchers frequently shop for semi-analytical and numerical methods in their studies. Therefore, the main goal of this research is to find the exact analytical solution for the fractional Bagley-Torvik equation fitted with Dirichlet boundary data, as well as a system of fractional Bagley-Torvik equations. Thus, this research aims to show that the modified Adomian decomposition method (MADM) via the proposed two algorithms is a very effective method for treating a class of Bagley-Torvik equations endowed with Dirichlet boundary data. Certainly, MADM is a very powerful approach for solving dissimilar functional equations without the need for either linearization, discretization, perturbation, or even unnecessary restraining postulations. Additionally, the method reveals exact analytical solutions whenever obtainable or closed-form series solutions whenever exact solutions are not feasible. Lastly, some illustrative test problems of the governing model are examined to demonstrate the superiority of the proposed algorithms.
- Subjects
DECOMPOSITION method; DIFFERENTIAL equations; MECHANICS (Physics); MATHEMATICAL physics; EQUATIONS
- Publication
European Journal of Pure & Applied Mathematics, 2024, Vol 17, Issue 1, p546
- ISSN
1307-5543
- Publication type
Article
- DOI
10.29020/nybg.ejpam.v17i1.5050