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

作     者：Mariam Al Mazmumy Aishah Alsulami Huda Bakodah Nawal Alzaid Mariam Al Mazmumy;Aishah Alsulami;Huda Bakodah;Nawal Alzaid

作者机构：Department of Mathematics College of Science University of Jeddah Jeddah Saudi Arabia 

出 版 物：《Applied Mathematics》 (应用数学（英文）)

年 卷 期：2023年第14卷第8期

页      面：512-530页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：ADM Modifications Methods Chebyshev’s Differential Equations IVPs Series Solutions 

摘      要：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.