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- Title
An Efficient Numerical Approach Based On the Adomian Chebyshev Decomposition Method for Two-Point Boundary Value Problems.
- Authors
AL-Refaidi, Amani; ALZaid, Nawal; Bakodah, Huda; AL-Mazmumy, Mariam
- Abstract
The current manuscript devises an efficient numerical method for solving two-point nonhomogeneous Boundary Value Problems (BVPs) with Dirichlet conditions. The method is based on the application of the celebrated Adomian Decomposition Method (ADM) and, the Chebyshev polynomials. This method which refers to ”Adomian Chebyshev Decomposition Method” (ACDM) is further proved to be a robust numerical method as the associated nonhomogeneous terms are successfully reinstated with a reliable Chebyshev series. Lastly, a comparative study between the acquired numerical results and the existing exact solutions of the test problems has been established to demonstrate the salient features of the devised method.
- Subjects
BOUNDARY value problems; DECOMPOSITION method; CHEBYSHEV polynomials; COMPARATIVE studies
- Publication
European Journal of Pure & Applied Mathematics, 2024, Vol 17, Issue 3, p1497
- ISSN
1307-5543
- Publication type
Article
- DOI
10.29020/nybg.ejpam.v17i3.5232