An application of nonlinear integro-differential equations by differential transform method with Adomian polynomials

被引：0
|
作者：
Bao X. [1 ]
Chan Y. [1 ]
机构：
[1] Institute for Advanced Study, Shenzhen University, Nanshan District, Guangdong, Shenzhen
来源：
International Journal of Dynamical Systems and Differential Equations | 2023年 / 12卷 / 06期
关键词：
ADM; Adomian polynomials; differential transform method; DTM; nonlinear dynamic system; nonlinear equations; nonlinear integro-differential equations; robot dynamics model; spherical robots;
D O I：
10.1504/IJDSDE.2022.10053144
中图分类号：
学科分类号：
摘要：
In this paper, we introduce the modified differential transform method (MDTM), where the nonlinear terms in nonlinear integro-differential equations are replaced by Adomian polynomials so as to make the differential transform method (DTM) more efficient to compute. We provide a simple numerical example to illustrate its application. The modified method is also used to solve a nonlinear dynamic system problem of spherical robots. Copyright © 2022 Inderscience Enterprises Ltd.
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收藏
页码：467 / 476
页数：9
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