An Efficient Numerical Approach Based on the Adomian Chebyshev Decomposition Method for Two-Point Boundary Value Problems
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Published:2024-07-31
Issue:3
Volume:17
Page:1497-1515
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ISSN:1307-5543
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Container-title:European Journal of Pure and Applied Mathematics
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language:
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Short-container-title:Eur. J. Pure Appl. Math.
Author:
AL-Refaidi A.,ALZaid N.,Bakodah Huda,AL-Mazmumy M.
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
Publisher
New York Business Global LLC