文章基本信息

标题：On the comparative study integro – Differential equations using difference numerical methods
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作者：Shams A. Ahmed ; Tarig M. Elzaki
期刊名称：Journal of King Saud University - Science
印刷版ISSN：1018-3647
出版年度：2020
卷号：32
期号：1
页码：84-89
DOI：10.1016/j.jksus.2018.03.003
语种：English
出版社：Elsevier
摘要：AbstractIn this paper, we use the Adomian decomposition Sumudu transform method with the Pade approximant (ADST - PA method) to obtain closed form solutions of nonlinear integro-differential equations, and perform a comparative study between the present method and three different numerical methods, namely; the Adomian decomposition Sumudu transform method (ADSTM)), the homotopy perturbation method (HPM), and the variational iteration method (VIM). Our results show that in comparison with other existing methods, the (ADST - PA method) gives a better approximation for solving a large number of nonlinear integro-differential equations than existing methods.
关键词：Adomian decomposition Sumudu transform method;Homotopy perturbation method;Pade approximant;Variational iteration method;Integro-differential equation