Abstract: In this paper, we study the use of the Adomian decomposition method (ADM) to solve the Chebyshev equation of the first kind. We show that the ADM can be used to obtain a series solution for the equation, and that the weight function for the series can be chosen to improve the accuracy of the solution.
We studied the weight of Chebyshev differential equations using the Adomian decomposition method and show that the ADM is a more efficient and accurate method.
Keywords: Adomian decomposition method, Chebyshev equation from first kind, weight function, Chebyshev polynomial.
Title: On the weight function for the Chebyshev equation of the first kind by the Adomian decomposition method
Author: Mohammed Ali Qasem Mohsen‚ Arafa Abdalrahim Ahmed Dawood
International Journal of Mathematics and Physical Sciences Research
ISSN 2348-5736 (Online)
Vol. 13, Issue 1, April 2025 - September 2025
Page No: 66-69
Research Publish Journals
Website: www.researchpublish.com
Published Date: 23-May-2025
