An Efficient Maple Program for Calculating Adomian Polynomials

作     者：Mariam Al-Mazmumy Mariam Al-Mazmumy

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

出 版 物：《American Journal of Computational Mathematics》 (美国计算数学期刊（英文）)

年 卷 期：2023年第13卷第4期

页      面：512-523页

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

主　　题：Nonlinear Operators Adomian Polynomials Adomian Decomposition Method Multi-Variable Nonlinearities Maple Package 

摘      要：The immense quest for proficient numerical schemes for the solution of mathematical models featuring nonlinear differential equations led to the realization of the Adomian decomposition method (ADM) in the 80th. Undoubtedly, the solution of nonlinear differential equations using ADM is presided over by the acquisition of Adomian polynomials, which are not always easy to find. Thus, the present study proposes easy-to-implement Maple programs for the computation of Adomian polynomials. In fact, the proposed algorithms performed remarkably on several test functions, consisting of one- and multi-variable nonlinearities. Moreover, the introduced programs are advantageous in terms of simplicity;coupled with the requirement of less computational time in comparison with what is known in the literature.